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Search: id:A073374
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| A073374 |
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Fourth convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself. |
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+0
2
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| 1, 5, 25, 95, 340, 1106, 3430, 10130, 28915, 80035, 216143, 571225, 1482110, 3783640, 9522740, 23665300, 58149845, 141435985, 340854645, 814589475, 1931900376, 4549699950, 10645737330, 24761578470
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=sum(b(k)*c(n-k), k=0..n) with b(k) := A001045(k+1) and c(k) := A073373(k).
a(n)=sum(binomial(n-k+4, 4)*binomial(n-k, k)*2^k, k=0..floor(n/2)).
a(n)=(5*(2968+1974*n+411*n^2+27*n^3)*(n+1)*U(n+1)+2*(9412+6099*n+1248*n^2+81*n^3)*(n+2)*U(n))/(4!*3^7) with U(n) := A001045(n+1), n>=0.
G.f.: 1/(1-(1+2*x)*x)^5.
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CROSSREFS
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Fifth (m=4) column of triangle A073370.
Sequence in context: A147177 A057255 A134140 this_sequence A126878 A055343 A146830
Adjacent sequences: A073371 A073372 A073373 this_sequence A073375 A073376 A073377
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Aug 2, 2002
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