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A060930 Third convolution of Lucas numbers A000032(n+1), n >= 0. 0
1, 12, 70, 280, 905, 2568, 6666, 16220, 37580, 83780, 181074, 381488, 786715, 1593160, 3176210, 6246732, 12139859, 23344760, 44471340, 84005640, 157483176, 293201912, 542468100, 997906400, 1826073525 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..24.

FORMULA

G.f.: ((1+2*x)/(1-x-x^2))^4.

a(n)=A060922(n+3, 3) (fourth column of Lucas triangle).

a(n)= (2*(25*n^3+60*n^2+35*n+24)*L(n+2) +(25*n^3+90*n^2+95*n+6)*L(n+1))/(3!*5^2), with the Lucas numbers L(n)=A000032(n)=A000204(n), n >= 1.

CROSSREFS

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

Sequence in context: A163193 A088832 A198311 * A169725 A209447 A219302

Adjacent sequences:  A060927 A060928 A060929 * A060931 A060932 A060933

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Apr 20 2001

STATUS

approved

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Last modified November 12 04:21 EST 2019. Contains 329051 sequences. (Running on oeis4.)