cp's OEIS Frontend

A086608 Row sums of triangle A086606: the sum of the first n terms of the n-th self-convolution of the sequence formed by flattening triangle A086606.

%I A086608 #5 Apr 18 2012 06:18:38
%S A086608 1,3,13,51,221,993,4530,20939,97285,455133,2140073,10109361,47933432,
%T A086608 227989548,1087308518,5197510491,24895494553,119461041021,
%U A086608 574151728723,2763435409221,13317800106750,64257410265249,310367127210417,1500548876309897,7261253691617671
%N A086608 Row sums of triangle A086606: the sum of the first n terms of the n-th self-convolution of the sequence formed by flattening triangle A086606.
%e A086608 Given A086606={1,_1,2,_1,3,9,_1,4,14,32,_1,5,20,55,140, ...},
%e A086608 a(2)=3=1+2 since A086606^2={1,2, ...},
%e A086608 a(3)=13=1+3+9 since A086606^3={1,3,9, ...},
%e A086608 a(4)=51=1+4+14+32 since A086606^4={1,4,14,32, ...},
%e A086608 a(5)=221=1+5+20+55+140 since A086606^5={1,5,20,55,140, ...}.
%Y A086608 Cf. A086606 (triangle), A086607 (diagonal).
%K A086608 nonn
%O A086608 1,2
%A A086608 _Paul D. Hanna_, Jul 23 2003