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A023620 Convolution of Lucas numbers and odd numbers. 0
1, 6, 18, 41, 82, 152, 269, 462, 778, 1293, 2130, 3488, 5689, 9254, 15026, 24369, 39490, 63960, 103557, 167630, 271306, 439061, 710498, 1149696, 1860337, 3010182, 4870674, 7881017, 12751858, 20633048, 33385085, 54018318, 87403594, 141422109, 228825906 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..35.

Index entries for linear recurrences with constant coefficients, signature (3,-2,-1,1).

FORMULA

a(n) = L(5)*(F(n+1)-1) + L(4)*F(n) - L(3)*n - 2*n, F(n) = A000045(n).

a(n) = A033811(n) - 2n. - N. J. A. Sloane, Jun 12 2004

a(n) = 3*a(n-1)-2*a(n-2)-a(n-3)+a(n-4). G.f.: -x*(x+1)*(2*x+1) / ((x-1)^2*(x^2+x-1)). - Colin Barker, May 14 2014

PROG

(PARI) Vec(-x*(x+1)*(2*x+1)/((x-1)^2*(x^2+x-1)) + O(x^100)) \\ Colin Barker, May 14 2014

CROSSREFS

Sequence in context: A015224 A163983 A191829 * A074837 A286308 A015942

Adjacent sequences:  A023617 A023618 A023619 * A023621 A023622 A023623

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 14 1998

EXTENSIONS

More terms from Colin Barker, May 14 2014

STATUS

approved

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Last modified May 16 22:18 EDT 2021. Contains 343957 sequences. (Running on oeis4.)