%I #12 Dec 11 2019 07:09:58
%S 1,1,1,2,1,2,5,2,2,5,13,5,4,5,14,34,13,10,10,14,41,89,34,26,25,28,41,
%T 122,233,89,68,65,70,82,122,365,610,233,178,170,182,205,244,365,1094,
%U 1597,610,466,445,476,533,610,730,1094,3281
%N Eigentriangle.
%C Left column = odd-indexed Fibonacci numbers prefaced with a 1.
%C Right border = A007051 shifted.
%C Row sums are A007051.
%F Let M = an infinite lower triangular matrix with odd-indexed Fibonacci numbers in every column prefaced with a 1: (1, 1, 2, 5, 13, 34, ...). Q = an infinite lower triangular matrix with A007051 prefaced with a 1 as the main diagonal: (1, 1, 2, 5, 14, 41, 122, 365, 1094, ...); and the rest zeros.
%F A147292 = M * Q
%e First few rows of the triangle =
%e 1;
%e 1, 1;
%e 2, 1, 2;
%e 5, 2, 2, 5;
%e 13, 5, 4, 5, 14;
%e 34, 13, 10, 10, 14, 41;
%e 89, 34, 26, 25, 28, 41, 122;
%e 233, 89, 68, 65, 70, 82, 122, 365;
%e 610, 233, 178, 170, 182, 205, 244, 365, 1094;
%e 1597, 610, 466, 445, 476, 533, 610, 730, 1094, 3281;
%e 4181, 1597, 1220, 1665, 1246, 1394, 1586, 1825, 2188, 3281, 9842;
%e 10946, 4181, 3194, 3050, 3262, 3649, 4148, 4745, 5470, 6562, 9842, 29525;
%e ...
%e Row 4 = (13, 5, 4, 5, 14) = termwise products of (13, 5, 2, 1, 1) and (1, 1, 2, 5, 14).
%K eigen,nonn,tabl
%O 0,4
%A _Gary W. Adamson_, Nov 05 2008