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A033813 Convolution of natural numbers n >= 1 with Lucas numbers L(k)(A000032) for k >= 3. +0
1
4, 15, 37, 77, 146, 262, 454, 769, 1283, 2119, 3476, 5676, 9240, 15011, 24353, 39473, 63942, 103538, 167610, 271285, 439039, 710475, 1149672, 1860312, 3010156, 4870647, 7880989, 12751829, 20633018, 33385054 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n)=L(6)*(F(n+1)-1)+L(5)*F(n)-L(4)*n, F(n): Fibonacci (A000045), G.F. x*(4+3*x)/((1-x-x^2)*(1-x)^2)

CROSSREFS

Cf. A023548, A023553.

Sequence in context: A015653 A106199 A113289 this_sequence A112666 A014629 A062486

Adjacent sequences: A033810 A033811 A033812 this_sequence A033814 A033815 A033816

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified December 3 22:15 EST 2009. Contains 170310 sequences.


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