A186023 - OEIS

%I #16 Nov 10 2022 07:39:07

%S 1,1,1,2,1,1,6,4,1,1,23,15,6,1,1,106,68,28,8,1,1,567,365,145,45,10,1,

%T 1,3434,2215,877,262,66,12,1,1,23137,14917,5936,1750,427,91,14,1,1,

%U 171174,110324,43936,13020,3108,648,120,16,1,1,1376525,887232,353067,104904,25125,5091,933,153,18,1,1

%N Eigentriangle of triangle A085478.

%C First column is A125273. Inverse of A186024. Rows sums are A125273(n)*(2-0^n).

%H Paul Barry, <a href="http://arxiv.org/abs/1107.5490">Invariant number triangles, eigentriangles and Somos-4 sequences</a>, arXiv preprint arXiv:1107.5490 [math.CO], 2011.

%e Triangle begins

%e        1;

%e        1,      1;

%e        2,      1,     1;

%e        6,      4,     1,     1;

%e       23,     15,     6,     1,    1;

%e      106,     68,    28,     8,    1,   1;

%e      567,    365,   145,    45,   10,   1,   1;

%e     3434,   2215,   877,   262,   66,  12,   1,  1;

%e    23137,  14917,  5936,  1750,  427,  91,  14,  1, 1;

%e   171174, 110324, 43936, 13020, 3108, 648, 120, 16, 1, 1;

%Y Cf. A125273, A186020, A186024,

%K nonn,tabl

%O 0,4

%A _Paul Barry_, Feb 10 2011