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.

A140168 Triangle read by rows, iterates of X * [1,0,0,0,...]; where X = an infinite bidiagonal matrix with [2, -1, 2, -1, 2, ...] in the main diagonal, [1, 1, 1, ...] in the subdiagonal and rest zeros.

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%I A140168 #5 Feb 08 2022 20:01:33
%S A140168 1,2,1,4,1,1,8,3,3,1,16,5,9,2,1,32,11,23,7,4,1,64,21,57,16,15,3,1,128,
%T A140168 43,135,41,46,12,5,1,256,85,313,94,133,34,22,4,1,512,171,711,219,360,
%U A140168 99,78,18,6,1,1024,341,1593,492,939,261,255,60,30,5,1,2048,683,3527,1101
%N A140168 Triangle read by rows, iterates of X * [1,0,0,0,...]; where X = an infinite bidiagonal matrix with [2, -1, 2, -1, 2, ...] in the main diagonal, [1, 1, 1, ...] in the subdiagonal and rest zeros.
%C A140168 Row sums = A105476 starting (1, 3, 6, 15, 33, 78, 177, ...).
%F A140168 Triangle read by rows, iterates of X * [1,0,0,0,...]; where X = an infinite bidiagonal matrix with [2, -1, 2, -1, 2, ...] in the main diagonal, [1, 1, 1, ...] in the subdiagonal and rest zeros.
%e A140168 First few rows of the triangle:
%e A140168     1;
%e A140168     2,   1;
%e A140168     4,   1,   1;
%e A140168     8,   3,   3,   1;
%e A140168    16,   5,   9,   2,   1;
%e A140168    32,  11,  23,   7,   4,  1;
%e A140168    64,  21,  57,  16,  15,  3,  1;
%e A140168   128,  43, 135,  41,  46, 12,  5,  1;
%e A140168   256,  85, 313,  94, 133, 34, 22,  4, 1;
%e A140168   512, 171, 711, 219, 360, 99, 78, 18, 6, 1;
%e A140168   ...
%Y A140168 Cf. A105476.
%K A140168 nonn,tabl
%O A140168 0,2
%A A140168 _Gary W. Adamson_, May 10 2008