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Search: id:A073373
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| A073373 |
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Third convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself. |
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+0
2
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| 1, 4, 18, 60, 195, 576, 1644, 4488, 11925, 30860, 78278, 195012, 478599, 1159080, 2774880, 6575280, 15439065, 35955540, 83118970, 190862860, 435601611, 988620624, 2232236628, 5016441240, 11224087965
(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) := A073372(k).
a(n)=sum(binomial(n-k+3, 3)*binomial(n-k, k)*2^k, k=0..floor(n/2)).
a(n)= ((350+177*n+21*n^2)*(n+1)*U(n+1)+2*(277+132*n+15*n^2)*(n+2)*U(n))/(2*9^3) with U(n) := A001045(n+1), n>=0.
G.f.: 1/(1-(1+2*x)*x)^4.
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CROSSREFS
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Fourth (m=3) column of triangle A073370.
Sequence in context: A027286 A119044 A058851 this_sequence A057414 A165910 A100177
Adjacent sequences: A073370 A073371 A073372 this_sequence A073374 A073375 A073376
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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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