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Eigentriangle for the Catalan triangle (c(x), xc(x)), A033184.
1

%I #14 Nov 20 2022 10:52:52

%S 1,1,1,2,1,1,6,3,1,1,22,11,4,1,1,92,46,17,5,1,1,426,213,79,24,6,1,1,

%T 2150,1075,399,122,32,7,1,1,11708,5854,2173,665,176,41,8,1,1,68282,

%U 34141,12673,3878,1027,242,51,9,1,1,423948,211974,78683,24075,6373,1502

%N Eigentriangle for the Catalan triangle (c(x), xc(x)), A033184.

%C First column is essentially A091768. Inverse of A181645.

%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, 3, 1, 1,

%e 22, 11, 4, 1, 1,

%e 92, 46, 17, 5, 1, 1,

%e 426, 213, 79, 24, 6, 1, 1,

%e 2150, 1075, 399, 122, 32, 7, 1, 1,

%e 11708, 5854, 2173, 665, 176, 41, 8, 1, 1

%Y Cf. A033184, A091768, A181645.

%K easy,nonn,tabl

%O 0,4

%A _Paul Barry_, Nov 03 2010