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A096669 Rectangular array T(n,k) read by antidiagonals; generating function of row n is 1/F(n,x), where F(n,x) is the polynomial 1 - x - x^2 - 2*x^3 -...- F(n+1)*x^n and F(n+1) is the (n+1)st Fibonacci number, for n=0,1,2,... 2
1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 5, 5, 2, 1, 1, 1, 8, 9, 5, 2, 1, 1, 1, 13, 18, 12, 5, 2, 1, 1, 1, 21, 37, 24, 12, 5, 2, 1, 1, 1, 34, 73, 52, 29, 12, 5, 2, 1, 1, 1, 55, 146, 115, 62, 29, 12, 5, 2, 1, 1, 1, 89, 293, 251, 140, 70, 29, 12, 5, 2, 1, 1, 1, 144, 585, 542, 321, 156, 70 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,8
LINKS
EXAMPLE
Rows begin:
1 1 1 1 1 ... = A000012, with g.f. 1/(1-x)
1 1 2 3 5 ... = A000045, with g.f. 1/(1-x-x^2)
1 1 2 5 9 ... = A077947, with g.f. 1/(1-x-x^2-2*x^3)
CROSSREFS
Cf. A000045, A096670. Rows converge to A000129.
Sequence in context: A333893 A225630 A129713 * A096591 A316074 A332954
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Jul 03 2004
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)