A067431 - OEIS

A067431

Convolution of Fibonacci F(n+1), n>=0, with F(n+8), n>=0.

21, 55, 131, 275, 550, 1058, 1985, 3653, 6625, 11875, 21084, 37140, 64989, 113075, 195775, 337507, 579650, 992182, 1693225, 2881825, 4892861, 8288915, 14013816, 23649000, 39841125, 67014703, 112558715

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OFFSET

0,1

COMMENTS

Eighth diagonal of A067330. Eighth column of A067418.

LINKS

Table of n, a(n) for n=0..26.

FORMULA

a(n)= A067330(n+7, n) = A067418(n+7, 7) = sum(F(k+1)*F(n+8-k), k=0..n), n>=0.

G.f.: (21+13*x)/(1-x-x^2)^2.

a(n)= ((76*n+5*21)*F(n+1)+47*(n+1)*F(n))/5, F(n) := A000045(n) (Fibonacci); 21=F(8), 76=L(9), 47=L(8), L(n) := A000204(n) (Lucas).

CROSSREFS

Sequence in context: A347373 A354162 A180674 * A083676 A264104 A236694

Adjacent sequences: A067428 A067429 A067430 * A067432 A067433 A067434

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Feb 15 2002

STATUS

approved