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Search: id:A081913
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| A081913 |
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2^n(n^3-3n^2+2n+48)/48. |
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+0
3
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| 1, 2, 4, 9, 24, 72, 224, 688, 2048, 5888, 16384, 44288, 116736, 301056, 761856, 1896448, 4653056, 11272192, 27000832, 64028672, 150470656, 350748672, 811597824, 1865416704, 4261412864, 9680453632, 21877489664, 49207574528
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OFFSET
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0,2
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COMMENT
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Binomial transform of A050407, (starting with 1,1,1,2,5,...). 2nd binomial transform of (1,0,0,1,0,0,0,0,.....). Case k=2 where a(n,k)=k^n(n^3-3n^2+2n+6k^3)/(6k^3), with G.f. (1-3kx+3k^2x^2-(k^3-1)x^3)/(1-kx)^4
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FORMULA
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a(n)=2^n(n^3-3n^2+2n+48)/48 G.f.: (1-6x+12x^2-7x^3)/(1-2x)^4
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CROSSREFS
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Cf. A081914.
Adjacent sequences: A081910 A081911 A081912 this_sequence A081914 A081915 A081916
Sequence in context: A005669 A038664 A093156 this_sequence A092236 A009283 A125654
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 31 2003
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