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.

A156064 Inverse of Riordan array (1/(1-x^4), x/(1-x^4)), A156062.

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%I A156064 #7 Dec 25 2018 22:23:17
%S A156064 1,0,1,0,0,1,0,0,0,1,-1,0,0,0,1,0,-2,0,0,0,1,0,0,-3,0,0,0,1,0,0,0,-4,
%T A156064 0,0,0,1,4,0,0,0,-5,0,0,0,1,0,9,0,0,0,-6,0,0,0,1,0,0,15,0,0,0,-7,0,0,
%U A156064 0,1,0,0,0,22,0,0,0,-8,0,0,0,1,-22,0,0,0,30,0,0,0,-9,0,0,0,1,0,-52,0,0,0,39
%N A156064 Inverse of Riordan array (1/(1-x^4), x/(1-x^4)), A156062.
%C A156064 Reverse and aerate A069270. First column is signed aerated version of A002293. Diagonal sums are A156065.
%H A156064 Chai Wah Wu, <a href="https://arxiv.org/abs/1810.02293">Record values in appending and prepending bitstrings to runs of binary digits</a>, arXiv:1810.02293 [math.NT], 2018.
%e A156064 Triangle begins
%e A156064     1;
%e A156064     0,  1;
%e A156064     0,  0,  1;
%e A156064     0,  0,  0,  1;
%e A156064    -1,  0,  0,  0,  1;
%e A156064     0, -2,  0,  0,  0,  1;
%e A156064     0,  0, -3,  0,  0,  0,  1;
%e A156064     0,  0,  0, -4,  0,  0,  0,  1;
%e A156064     4,  0,  0,  0, -5,  0,  0,  0,  1;
%e A156064     0,  9,  0,  0,  0, -6,  0,  0,  0,  1;
%e A156064     0,  0, 15,  0,  0,  0, -7,  0,  0,  0,  1;
%e A156064     0,  0,  0, 22,  0,  0,  0, -8,  0,  0,  0,  1;
%e A156064   -22,  0,  0,  0, 30,  0,  0,  0, -9,  0,  0,  0,  1;
%e A156064 Production matrix is
%e A156064    0,  1;
%e A156064    0,  0,  1;
%e A156064    0,  0,  0,  1;
%e A156064   -1,  0,  0,  0,  1;
%e A156064    0, -1,  0,  0,  0,  1;
%e A156064    0,  0, -1,  0,  0,  0,  1;
%e A156064    0,  0,  0, -1,  0,  0,  0,  1;
%e A156064    0,  0,  0,  0, -1,  0,  0,  0,  1;
%e A156064    0,  0,  0,  0,  0, -1,  0,  0,  0,  1;
%e A156064    0,  0,  0,  0,  0,  0, -1,  0,  0,  0,  1;
%e A156064    0,  0,  0,  0,  0,  0,  0, -1,  0,  0,  0,  1;
%e A156064    0,  0,  0,  0,  0,  0,  0,  0, -1,  0,  0,  0,  1;
%e A156064    0,  0,  0,  0,  0,  0,  0,  0,  0, -1,  0,  0,  0,  1;
%e A156064    0,  0,  0,  0,  0,  0,  0,  0,  0,  0, -1,  0,  0,  0,  1;
%K A156064 easy,sign,tabl
%O A156064 0,17
%A A156064 _Paul Barry_, Oct 20 2009