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A038327
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Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*1^j.
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5
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1, 12, 1, 144, 24, 1, 1728, 432, 36, 1, 20736, 6912, 864, 48, 1, 248832, 103680, 17280, 1440, 60, 1, 2985984, 1492992, 311040, 34560, 2160, 72, 1, 35831808, 20901888, 5225472, 725760, 60480, 3024, 84, 1, 429981696, 286654464, 83607552
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OFFSET
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0,2
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COMMENTS
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T(i,j) is the number of i-permutations of 13 objects a,b,c,d,e,f,g,h,i,j,k,l,m, with repetition allowed, containing j a's. - Zerinvary Lajos, Dec 21 2007
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REFERENCES
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B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109-121.
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LINKS
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EXAMPLE
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1
12, 1
144, 24, 1
1728, 432, 36, 1
20736, 6912, 864, 48, 1
248832, 103680, 17280, 1440, 60, 1
2985984, 1492992, 311040, 34560, 2160, 72, 1
35831808, 20901888, 5225472, 725760, 60480, 3024, 84, 1
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MAPLE
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for i from 0 to 7 do seq(binomial(i, j)*12^(i-j), j = 0 .. i) od; # Zerinvary Lajos, Dec 21 2007
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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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