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A067981 Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+3), n>=0. 0
4, 19, 48, 107, 220, 432, 822, 1529, 2796, 5045, 9006, 15936, 27992, 48863, 84840, 146623, 252368, 432816, 739914, 1261285, 2144484, 3637609, 6157218, 10401792, 17541100, 29531947, 49644192, 83336339 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Third diagonal of triangle A067979. Third column of triangle A067990.

LINKS

Table of n, a(n) for n=0..27.

FORMULA

a(n)= sum(L(k+1)*L(n+3-k), k=0..n) = (7*n+4)*F(n+1)+4*(n+1)*F(n), with F(n) := A000045(n) (Fibonacci).

G.f.: (4+3*x)*(1+2*x)/(1-x-x^2)^2.

CROSSREFS

Sequence in context: A134538 A338711 A024013 * A174458 A263759 A162254

Adjacent sequences:  A067978 A067979 A067980 * A067982 A067983 A067984

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Feb 15 2002

STATUS

approved

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Last modified May 10 23:31 EDT 2021. Contains 343784 sequences. (Running on oeis4.)