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Search: id:A067986
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A067986 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+8), n>=0. +0
1
47, 217, 539, 1201, 2460, 4826, 9171, 17047, 31153, 56185, 100258, 177348, 311431, 543509, 943495, 1630289, 2805624, 4811038, 8223627, 14016755, 23829437, 40417337, 68406974, 115555656, 194854175 (list; graph; listen)
OFFSET

0,1

COMMENT

Eighth diagonal of triangle A067979. Eighth column of triangle A067990.

FORMULA

a(n)= sum(L(k+1)*L(n+8-k), k=0..n) = (76*n+47)*F(n+1)+47*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

G.f.: (47+29*x)*(1+2*x)/(1-x-x^2)^2.

CROSSREFS

Sequence in context: A157362 A141874 A142203 this_sequence A141537 A102090 A033226

Adjacent sequences: A067983 A067984 A067985 this_sequence A067987 A067988 A067989

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 15 2002

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


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