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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
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: A354171 A338711 A024013 * A174458 A263759 A162254
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Feb 15 2002
STATUS
approved

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Last modified June 16 13:54 EDT 2024. Contains 373429 sequences. (Running on oeis4.)