Revision History for A093417
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#5 by N. J. A. Sloane at Thu Dec 05 19:56:47 EST 2013
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| AUTHOR
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_Amarnath Murthy (amarnath_murthy(AT)yahoo.com), _, Mar 30 2004
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Discussion
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| Thu Dec 05
| 19:56
| OEIS Server: https://oeis.org/edit/global/2075
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#4 by Russ Cox at Sat Mar 31 13:20:56 EDT 2012
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| EXTENSIONS
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Edited and extended by _David Wasserman (wasserma(AT)spawar.navy.mil), _, Feb 02 2006
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Discussion
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| Sat Mar 31
| 13:20
| OEIS Server: https://oeis.org/edit/global/880
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#3 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006
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| NAME
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In the following triangle the n-th row contains rational numbers in reduced form n/1, {n+(n-1)}/{1 + 2}, {(n) + (n-1) +(n-2)}/{1+2+3},...the last term is 1. 1 2 1 3 5/3 1 4 7/3 3/2 1 5 3 2 7/5 1 6 11/3 5/2 9/5 4/3 1 ... The triangle of denominators is 1 1 1 1 3 1 1 3 2 1 1 1 1 5 1 1 3 2 5 3 1 ... Sequence contains the row sums.
Row sums of A093415.
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| DATA
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1, 2, 5, 7, 9, 15, 21, 22, 28, 40, 37, 57, 58, 55, 85, 100, 83, 126, 112, 113, 151, 187, 149, 194, 214, 204, 230, 301, 202, 345, 341, 292, 373, 340, 327, 495, 469, 413, 448, 610, 414, 672, 595, 481, 694, 805, 597, 786, 715, 718, 842, 1027, 751, 877, 918, 902
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| EXAMPLE
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In the following triangle the n-th row contains rational numbers in reduced form n/1, {n+(n-1)}/{1 + 2}, {(n) + (n-1) +(n-2)}/{1+2+3},...the last term is 1.
1
2 1
3 5/3 1
4 7/3 3/2 1
5 3 2 7/5 1
6 11/3 5/2 9/5 4/3 1
...
The triangle of denominators is
1
1 1
1 3 1
1 3 2 1
1 1 1 5 1
1 3 2 5 3 1
...
Sequence contains the row sums.
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| CROSSREFS
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Cf. A093412, A093413, A093414, A093415, A093416, A093418.
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| KEYWORD
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more,nonn,uned,obsc,new
nonn,easy
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| EXTENSIONS
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Edited and extended by David Wasserman (wasserma(AT)spawar.navy.mil), Feb 02 2006
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#2 by N. J. A. Sloane at Tue Jul 19 03:00:00 EDT 2005
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| KEYWORD
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more,nonn,uned,obsc,new
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| EXTENSIONS
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Warning: Many recent communications from this author have contained numerical errors or have been badly formatted. This entry has not been edited and may contain errors. It is included on a provisional basis in the hope that some reader will edit it. - njas
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#1 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004
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| NAME
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In the following triangle the n-th row contains rational numbers in reduced form n/1, {n+(n-1)}/{1 + 2}, {(n) + (n-1) +(n-2)}/{1+2+3},...the last term is 1. 1 2 1 3 5/3 1 4 7/3 3/2 1 5 3 2 7/5 1 6 11/3 5/2 9/5 4/3 1 ... The triangle of denominators is 1 1 1 1 3 1 1 3 2 1 1 1 1 5 1 1 3 2 5 3 1 ... Sequence contains the row sums.
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| DATA
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1, 2, 5, 7, 9, 15
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| OFFSET
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1,2
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| EXAMPLE
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In the following triangle the n-th row contains rational numbers in reduced form n/1, {n+(n-1)}/{1 + 2}, {(n) + (n-1) +(n-2)}/{1+2+3},...the last term is 1.
1
2 1
3 5/3 1
4 7/3 3/2 1
5 3 2 7/5 1
6 11/3 5/2 9/5 4/3 1
...
The triangle of denominators is
1
1 1
1 3 1
1 3 2 1
1 1 1 5 1
1 3 2 5 3 1
...
Sequence contains the row sums.
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| CROSSREFS
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Cf. A093412, A093413, A093414, A093415, A093416, A093418.
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| KEYWORD
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more,nonn,uned,obsc
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| AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 30 2004
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| EXTENSIONS
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Warning: Many recent communications from this author have contained numerical errors or have been badly formatted. This entry has not been edited and may contain errors. It is included on a provisional basis in the hope that some reader will edit it. - njas
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| STATUS
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approved
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