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.

A105847 Inverse binomial transform of number triangle A105632.

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%I A105847 #3 Mar 30 2012 18:59:07
%S A105847 1,0,1,1,-1,1,0,3,-2,1,2,-3,6,-3,1,0,9,-10,10,-4,1,5,-9,26,-22,15,-5,
%T A105847 1,0,29,-42,59,-40,21,-6,1,14,-29,108,-121,115,-65,28,-7,1,0,99,-174,
%U A105847 308,-276,202,-98,36,-8,1,42,-99,450,-620,734,-546,329,-140,45,-9,1,0,351,-726,1547,-1700,1540,-980,506,-192,55,-10,1,132
%N A105847 Inverse binomial transform of number triangle A105632.
%C A105847 Product of Riordan array (1/(1+x),x/(1+x)) (inverse binomial matrix) and A105632. Rows sums are A007477.
%F A105847 Column k has g.f. (sum{j=0..k-1, C(k-1, j)C(j)x^(2j)/(1-4x^2)^(j+1/2)}+0^k*(1-sqrt(1-4x^2))/(2x^2))(x/(1+x))^k
%e A105847 Triangle begins
%e A105847 1;
%e A105847 0,1;
%e A105847 1,-1,1;
%e A105847 0,3,-2,1;
%e A105847 2,-3,6,-3,1;
%e A105847 0,9,-10,10,-4,1;
%K A105847 easy,sign,tabl
%O A105847 0,8
%A A105847 _Paul Barry_, Apr 22 2005