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.

1, 3, 13, 51, 221, 993, 4530, 20939, 97285, 455133, 2140073, 10109361, 47933432, 227989548, 1087308518, 5197510491, 24895494553, 119461041021, 574151728723, 2763435409221, 13317800106750, 64257410265249, 310367127210417, 1500548876309897, 7261253691617671

Offset

1,2

Links

Table of n, a(n) for n=1..25.

Example

Given A086606={1,_1,2,_1,3,9,_1,4,14,32,_1,5,20,55,140, ...},
a(2)=3=1+2 since A086606^2={1,2, ...},
a(3)=13=1+3+9 since A086606^3={1,3,9, ...},
a(4)=51=1+4+14+32 since A086606^4={1,4,14,32, ...},
a(5)=221=1+5+20+55+140 since A086606^5={1,5,20,55,140, ...}.

Crossrefs

Cf. A086606 (triangle), A086607 (diagonal).

Sequence in context: A323266 A146279 A098619 * A291182 A037772 A037660

Adjacent sequences: A086605 A086606 A086607 * A086609 A086610 A086611

Keyword

nonn

Author

Paul D. Hanna, Jul 23 2003

Status

approved