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A291701 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 - ...))))). 1
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Table of n, a(n) for n=0..71.

FORMULA

G.f. of column k: (1 - x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - x^5/(1 - ...))))))^k, a continued fraction.

EXAMPLE

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, ...

CROSSREFS

Columns k=0..1 give A000007, A291148.

Rows n=0..1 give A000012, A001489.

Main diagonal gives A291702.

Cf. A291652.

Sequence in context: A290975 A291678 A286180 * A286352 A332898 A175045

Adjacent sequences:  A291698 A291699 A291700 * A291702 A291703 A291704

KEYWORD

sign,tabl

AUTHOR

Seiichi Manyama, Aug 30 2017

STATUS

approved

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Last modified April 15 03:00 EDT 2021. Contains 342974 sequences. (Running on oeis4.)