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A254858
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Iterated partial sums of prime numbers, square array read by diagonals.
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11
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2, 2, 3, 2, 5, 5, 2, 7, 10, 7, 2, 9, 17, 17, 11, 2, 11, 26, 34, 28, 13, 2, 13, 37, 60, 62, 41, 17, 2, 15, 50, 97, 122, 103, 58, 19, 2, 17, 65, 147, 219, 225, 161, 77, 23, 2, 19, 82, 212, 366, 444, 386, 238, 100, 29, 2, 21, 101, 294, 578, 810, 830, 624, 338, 129, 31
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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COMMENTS
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Row n+1 = partial sums of row n.
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LINKS
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EXAMPLE
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. n\k | 1 2 3 4 5 6 7 8 9 10 11 12 13
. ----+------------------------------------------------------------------
. 0 | 2 3 5 7 11 13 17 19 23 29 31 37 41 ..
. 1 | 2 5 10 17 28 41 58 77 100 129 160 197 238 ..
. 2 | 2 7 17 34 62 103 161 238 338 467 627 824 1062 ..
. 3 | 2 9 26 60 122 225 386 624 962 1429 2056 2880 3942 ..
. 4 | 2 11 37 97 219 444 830 1454 2416 3845 5901 8781 12723 ..
. 5 | 2 13 50 147 366 810 1640 3094 5510 9355 15256 24037 36760 ..
. 6 | 2 15 65 212 578 1388 3028 6122 11632 20987 36243 60280 97040 ..
. 7 | 2 17 82 294 872 2260 5288 11410 23042 44029 80272 140552 237592 ...
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MATHEMATICA
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nmax = 11;
row[0] = Prime[Range[nmax+1]];
row[n_] := row[n] = row[n-1] // Accumulate;
T[n_, k_] := row[n][[k]];
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PROG
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(Haskell)
a254858_tabl = diags [] $ iterate (scanl1 (+)) a000040_list where
diags uss (vs:vss) = (map head wss) : diags (map tail wss) vss
where wss = vs : uss
a254858_list = concat a254858_tabl
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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