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A067978 Convolution of Fibonacci F(n+1), n>=0, with F(n+10), n>=0. 0
55, 144, 343, 720, 1440, 2770, 5197, 9564, 17345, 31090, 55200, 97236, 170147, 296040, 512555, 883620, 1517568, 2597606, 4432985, 7544820, 12809845, 21700934, 36689088, 61914600, 104306575, 175448640 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Tenth diagonal of A067330. Tenth column of A067418.
LINKS
FORMULA
a(n)= A067330(n+9, n) = A067418(n+9, 9) = sum(F(k+1)*F(n+10-k), k=0..n), n>=0.
G.f.: (55+34*x)/(1-x-x^2)^2.
a(n)= ((199*n+5*55)*F(n+1)+123*(n+1)*F(n))/5, F(n) := A000045(n) (Fibonacci); 55=F(10), 123=L(10), 199=L(11), L(n) := A000204(n) (Lucas).
CROSSREFS
Sequence in context: A250578 A130745 A096664 * A072429 A046438 A043510
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Feb 15 2002
STATUS
approved

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Last modified June 20 12:17 EDT 2024. Contains 373527 sequences. (Running on oeis4.)