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Search: id:A073393
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| A073393 |
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Sixth convolution of A002605(n) (generalized (2,2)-Fibonacci), n>=0, with itself. |
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+0
2
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| 1, 14, 126, 896, 5488, 30240, 153888, 735744, 3344544, 14581952, 61378240, 250693632, 997593856, 3880249856, 14791776768, 55385874432, 204082373376, 741186464256, 2656771815936, 9410113241088
(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) := A002605(k) and c(k) := A073392(k).
a(n)=(2^n)*sum(binomial(n-k+6, 6)*binomial(n-k, k)*(1/2)^k, k=0..floor(n/2)).
a(n)=((54340+59802*n+24583*n^2+4747*n^3+433*n^4+15*n^5)*(n+1)*U(n+1)+(23420+32768*n+15333*n^2+3201*n^3+307*n^4+11*n^5)*(n+2)*U(n))/(2^7*3^5*5), with U(n) := A002605(n), n>=0.
G.f.: 1/(1-2*x*(1+x))^7.
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CROSSREFS
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Seventh (m=6) column of triangle A073387.
Adjacent sequences: A073390 A073391 A073392 this_sequence A073394 A073395 A073396
Sequence in context: A026870 A090296 A088625 this_sequence A020918 A041368 A026882
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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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