login
A directed animal related triangle.
1

%I #4 Jan 11 2015 02:18:10

%S 1,1,1,2,3,1,5,9,6,1,13,29,25,10,1,35,92,100,55,15,1,96,291,377,266,

%T 105,21,1,267,915,1375,1169,602,182,28,1

%N A directed animal related triangle.

%C First column is A005773. Row sums are A129775.

%F G.f.: 1/(1-xy-x/(1-x-xy-x^2/(1-x-xy-x^2/(1-x-xy-x^2/(1-...))))) (continued fraction).

%e Triangle begins

%e 1,

%e 1, 1,

%e 2, 3, 1,

%e 5, 9, 6, 1,

%e 13, 29, 25, 10, 1,

%e 35, 92, 100, 55, 15, 1,

%e 96, 291, 377, 266, 105, 21, 1,

%e 267, 915, 1375, 1169, 602, 182, 28, 1

%K easy,nonn,tabl

%O 0,4

%A _Paul Barry_, Jan 19 2009