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A073374 Fourth convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself. 1
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; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..23.

FORMULA

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.

CROSSREFS

Fifth (m=4) column of triangle A073370.

Sequence in context: A228457 A213293 A203184 * A126878 A203340 A055343

Adjacent sequences:  A073371 A073372 A073373 * A073375 A073376 A073377

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 02 2002

STATUS

approved

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Last modified April 25 12:04 EDT 2019. Contains 322456 sequences. (Running on oeis4.)