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A067983 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+5), n>=0. +0
1
11, 51, 127, 283, 580, 1138, 2163, 4021, 7349, 13255, 23654, 41844, 73483, 128247, 222635, 384707, 662072, 1135334, 1940691, 3307865, 5623681, 9538511, 16144282, 27271848, 45987275, 77419323, 130137943 (list; graph; listen)
OFFSET

0,1

COMMENT

Fifth diagonal of triangle A067979. Fifth column of triangle A067990.

FORMULA

a(n)= sum(L(k+1)*L(n+5-k), k=0..n) = (18*n+11)*F(n+1)+11*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

G.f.: (11+7*x)*(1+2*x)/(1-x-x^2)^2.

CROSSREFS

Sequence in context: A126398 A026618 A026684 this_sequence A051843 A107464 A027942

Adjacent sequences: A067980 A067981 A067982 this_sequence A067984 A067985 A067986

KEYWORD

nonn,easy

AUTHOR

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

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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