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A067334 Convolution of Fibonacci F(n+1), n>=0, with F(n+6), n>=0. 0
8, 21, 50, 105, 210, 404, 758, 1395, 2530, 4535, 8052, 14184, 24820, 43185, 74770, 128901, 221382, 378940, 646690, 1100655, 1868738, 3165811, 5352360, 9032400, 15216800, 25595469, 42990578, 72110625 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

Sixth diagonal of A067330. Sixth column of A067418.

FORMULA

a(n)= A067330(n+5, n) = A067418(n+5, 5) = sum(F(k+1)*F(n+6-k), k=0..n), n>=0.

a(n)= ((29*n+40)*F(n+1)+18*(n+1)*F(n))/5, with F(n) := A000045(n) (Fibonacci).

G.f.: (8+5*x)/(1-x-x^2)^2.

CROSSREFS

Sequence in context: A180672 A152117 A075629 * A066859 A192299 A080144

Adjacent sequences:  A067331 A067332 A067333 * A067335 A067336 A067337

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 16 01:31 EST 2012. Contains 205860 sequences.