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A033814 Convolution of natural numbers n >= 1 with Lucas numbers L(k)(A000032) for k >= 4. +0
2
7, 25, 61, 126, 238, 426, 737, 1247, 2079, 3432, 5628, 9188, 14955, 24293, 39409, 63874, 103466, 167534, 271205, 438955, 710387, 1149580, 1860216, 3010056, 4870543, 7880881, 12751717, 20632902, 33384934, 54018162 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n)=L(7)*(F(n+1)-1)+L(6)*F(n)-L(5)*n, F(n): Fibonacci (A000045); G.F. x*(7+4*x)/((1-x-x^2)*(1-x)^2), 7=L(4), 4=L(3).

CROSSREFS

A023548, A023537.

Sequence in context: A034135 A061600 A098538 this_sequence A118395 A118396 A001845

Adjacent sequences: A033811 A033812 A033813 this_sequence A033815 A033816 A033817

KEYWORD

easy,nonn

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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