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A060931 Fourth convolution of Lucas numbers A000032(n+1), n >= 0. 0
1, 15, 110, 545, 2120, 7043, 20965, 57560, 148545, 365045, 862224, 1970905, 4382820, 9520315, 20265665, 42385132, 87284120, 177293730, 355738710, 705980760, 1387213926, 2701362950, 5217448800, 10001654350 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

a(n)=A060921(n+4, 4) (fifth column of Lucas triangle).

a(n)=(n+1)*((15*n^3+55*n^2+50*n+24)*L(n+2) +2*(5*n^3+15*n^2+10*n+24)*L(n+1))/5!, with the Lucas numbers L(n)=A000032(n)= A000204(n), n >= 1.

G.f.: ((1+2*x)/(1-x-x^2))^5.

CROSSREFS

A004799(n+1)= A060922(n+1, 1), A060929-30.

Sequence in context: A232197 A205352 A055504 * A107585 A205347 A054367

Adjacent sequences:  A060928 A060929 A060930 * A060932 A060933 A060934

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Apr 20 2001

STATUS

approved

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Last modified November 15 06:11 EST 2019. Contains 329144 sequences. (Running on oeis4.)