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.

A137710 Triangle read by rows: T(n,k) = T(n-1, k-1) - T(n-k, k-1); left border = (1, 2, 4, 8, 16, 32, ...).

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%I A137710 #10 Mar 30 2024 23:09:10
%S A137710 1,2,1,4,1,1,8,2,1,1,16,4,2,1,1,32,8,3,2,1,1,64,16,6,2,2,1,1,64,16,6,
%T A137710 2,2,1,1,128,32,12,5,2,2,1,1,256,64,24,10,4,2,2,1,1,512,128,48,21,9,4,
%U A137710 2,2,1,1,1024,256,96,42,19,18,4,2,2,1,1,2048,512,192,84,40,18,18,4,2,2,1,1
%N A137710 Triangle read by rows: T(n,k) = T(n-1, k-1) - T(n-k, k-1); left border = (1, 2, 4, 8, 16, 32, ...).
%C A137710 Row sums = A137711: (1, 3, 6, 12, 24, 47, 92, 183, ...).
%C A137710 Eigensequence of the triangle = even-indexed Fibonacci numbers starting (1, 3, 8, 21, 55, ...). Cf. triangle A180339. - _Gary W. Adamson_, Aug 28 2010
%F A137710 The triangle is generated by two rules: T(n,k) = T(n-1, k-1) - T(n-k, k-1); and left border = 1, 2, 4, 8, 16, ...
%e A137710 First few rows of the triangle:
%e A137710     1;
%e A137710     2,   1;
%e A137710     4,   1,  1;
%e A137710     8,   2,  1,  1;
%e A137710    16,   4,  2,  1, 1;
%e A137710    32,   8,  3,  2, 1, 1;
%e A137710    64,  16,  6,  2, 2, 1, 1;
%e A137710   128,  32, 12,  5, 2, 2, 1, 1;
%e A137710   256,  64, 24, 10, 4, 2, 2, 1, 1;
%e A137710   512, 128, 48, 21, 9, 4, 2, 2, 1, 1;
%e A137710   ...
%Y A137710 Cf. A137711.
%Y A137710 Cf. A180339. - _Gary W. Adamson_, Aug 28 2010
%K A137710 nonn,tabl
%O A137710 1,2
%A A137710 _Gary W. Adamson_, Feb 08 2008