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Search: id:A073375
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| A073375 |
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Fifth convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself. |
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+0
2
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| 1, 6, 33, 140, 546, 1932, 6454, 20448, 62271, 183202, 523887, 1461516, 3991400, 10698072, 28203612, 73265056, 187822125, 475788222, 1192287117, 2958453036, 7274927646, 17741533668, 42937126290
(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) := A073374(k).
a(n)=sum(binomial(n-k+5, 5)*binomial(n-k, k)*2^k, k=0..floor(n/2)).
a(n)=(n+3)*(n+9)*((3080+1086*n+93*n^2)*(n+1)*U(n+1)+2*(1660+591*n+51*n^2)*(n+2)*U(n))/(5!*3^7) with U(n) := A001045(n+1), n>=0.
G.f.: 1/(1-(1+2*x)*x)^6.
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CROSSREFS
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Sixth (m=5) column of triangle A073370.
Sequence in context: A057818 A063267 A082106 this_sequence A089097 A120009 A074087
Adjacent sequences: A073372 A073373 A073374 this_sequence A073376 A073377 A073378
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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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