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A073375 Fifth convolution of A001045(n+1) (generalized (1,2)-Fibonacci), n>=0, with itself. 1
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; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

FORMULA

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.

CROSSREFS

Sixth (m=5) column of triangle A073370.

Sequence in context: A082106 A297392 A263479 * A089097 A120009 A074087

Adjacent sequences:  A073372 A073373 A073374 * A073376 A073377 A073378

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 02 2002

STATUS

approved

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Last modified March 21 20:21 EDT 2019. Contains 321382 sequences. (Running on oeis4.)