cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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 - ...))))).

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%I A291701 #12 Aug 30 2017 09:36:46
%S A291701 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,
%T A291701 -6,10,-8,6,-2,-1,0,1,-7,15,-15,13,-6,1,-1,0,1,-8,21,-26,25,-16,6,0,
%U A291701 -2,0,1,-9,28,-42,45,-36,18,-3,0,-2,0,1,-10,36,-64,77,-72
%N 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 - ...))))).
%F A291701 G.f. of column k: (1 - x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - x^5/(1 - ...))))))^k, a continued fraction.
%e A291701 Square array begins:
%e A291701    1,  1,  1,  1,  1, ...
%e A291701    0, -1, -2, -3, -4, ...
%e A291701    0,  0,  1,  3,  6, ...
%e A291701    0, -1, -2, -4, -8, ...
%e A291701    0,  0,  2,  6, 13, ...
%Y A291701 Columns k=0..1 give A000007, A291148.
%Y A291701 Rows n=0..1 give A000012, A001489.
%Y A291701 Main diagonal gives A291702.
%Y A291701 Cf. A291652.
%K A291701 sign,tabl
%O A291701 0,8
%A A291701 _Seiichi Manyama_, Aug 30 2017