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A096670
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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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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
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OFFSET
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1,9
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COMMENTS
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LINKS
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EXAMPLE
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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).
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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