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A060929 Second convolution of Lucas numbers A000032(n+1), n >= 0. 6
1, 9, 39, 120, 315, 753, 1687, 3612, 7470, 15040, 29634, 57366, 109421, 206115, 384105, 709152, 1298613, 2360943, 4264835, 7659870, 13686456, 24340184, 43102644, 76031100, 133636825, 234116493, 408900987 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.: ((1+2*x)/(1-x-x^2))^3.

a(n)=A060922(n+2, 2) (third column of Lucas triangle).

a(n)=(n+1)*((5*n+4)*L(n+2) + (5*n-2)*L(n+1))/10, n >= 1, with the Lucas numbers L(n)=A000032(n)=A000204(n), n >= 1.

CROSSREFS

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

Sequence in context: A054121 A139594 A034263 * A124851 A124041 A126396

Adjacent sequences:  A060926 A060927 A060928 * A060930 A060931 A060932

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 20 2001

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.