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A291701
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Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of k-th power of continued fraction 1 - x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - x^5/(1 - ...))))).
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1
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1, 1, 0, 1, -1, 0, 1, -2, 0, 0, 1, -3, 1, -1, 0, 1, -4, 3, -2, 0, 0, 1, -5, 6, -4, 2, -1, 0, 1, -6, 10, -8, 6, -2, -1, 0, 1, -7, 15, -15, 13, -6, 1, -1, 0, 1, -8, 21, -26, 25, -16, 6, 0, -2, 0, 1, -9, 28, -42, 45, -36, 18, -3, 0, -2, 0, 1, -10, 36, -64, 77, -72
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OFFSET
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0,8
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LINKS
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FORMULA
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G.f. of column k: (1 - x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - x^5/(1 - ...))))))^k, a continued fraction.
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EXAMPLE
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Square array begins:
1, 1, 1, 1, 1, ...
0, -1, -2, -3, -4, ...
0, 0, 1, 3, 6, ...
0, -1, -2, -4, -8, ...
0, 0, 2, 6, 13, ...
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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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