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.
%I A125786 #3 Mar 30 2012 18:37:02
%S A125786 1,7,39,216,1274,8200,58017,451283,3847960,35818351,362337006,
%T A125786 3965467281,46749441514,591291743032,7993582141984,115104783083605,
%U A125786 1759853074058289,28485332959460764,486811835886953020
%N A125786 Column 6 of table A125781.
%C A125786 Column k of triangle A091351 = row sums of matrix power A091351^k for k>=0.
%F A125786 a(n) = Sum_{k=0..n} [A091351^2](n+2,k+2) where A091351^2 is the matrix square of A091351.
%e A125786 a(n) = A125784(n+1) - A125783(n+1) for n>0:
%e A125786 A125784 begins: 1, 5, 21, 91, 433, 2307, 13804, 92433, 688611, ...;
%e A125786 A125783 begins: 1, 4, 14, 52, 217, 1033, 5604, 34416, 237328, ...;
%e A125786 term-by-term differences form this sequence.
%e A125786 This sequence can also be derived from the matrix square A091351^2:
%e A125786 1;
%e A125786 2, 1;
%e A125786 4, 4, [1];
%e A125786 9, 14, [6, 1];
%e A125786 24, 52, [30, 8, 1];
%e A125786 77, 217, [153, 52, 10, 1];
%e A125786 295, 1033, [845, 336, 80, 12, 1];
%e A125786 1329, 5604, [5152, 2294, 625, 114, 14, 1]; ...
%e A125786 the terms enclosed in square barackets sum to equal this sequence.
%Y A125786 Cf. A125781; other columns: A091352, A125782, A125783, A125784, A125785.
%K A125786 nonn
%O A125786 0,2
%A A125786 _Paul D. Hanna_, Dec 09 2006