id:A096670 - OEIS Search Results

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Rectangular array T(n,k) read by antidiagonals; generating function of column 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,...

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1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 5, 5, 1, 1, 1, 2, 5, 9, 8, 1, 1, 1, 2, 5, 12, 18, 13, 1, 1, 1, 2, 5, 12, 24, 37, 21, 1, 1, 1, 2, 5, 12, 29, 52, 73, 34, 1, 1, 1, 2, 5, 12, 29, 62, 115, 146, 55, 1, 1, 1, 2, 5, 12, 29, 70, 140, 251, 293, 89, 1, 1, 1, 2, 5, 12, 29, 70, 156 (list; table; graph; listen)

	OFFSET	`1,9`
	COMMENT	`Transpose of the array in A096669.`
	EXAMPLE	`Rows` `1 1 1 1 1` `1 1 1 1 1` `1 2 2 2 2` `1 3 5 5 5` `1 5 9 12 12` `Column 0 has g.f. 1/(1-x)` `Column 1 has g.f. 1/(1-x-x^2)` `Column 2 has g.g. 1/(1-x-x^2-2*x^3).`
	CROSSREFS	`Cf. A000045, A096669, A000129.` `Sequence in context: A119338 A054124 A144406 this_sequence A130461 A130777 A046854` `Adjacent sequences: A096667 A096668 A096669 this_sequence A096671 A096672 A096673`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Jul 03 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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