A030038 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A030038

a(n+1) = Sum_{k=0..floor(3*n/5)} a(k) * a(n-k).

1, 1, 1, 2, 3, 6, 13, 26, 57, 117, 262, 602, 1329, 3079, 6903, 16161, 38185, 87745, 207896, 481817, 1148246, 2755781, 6485489, 15592656, 36899080, 88966356, 215687474, 515590781, 1251629165, 2998835401, 7291353036, 17803231663, 42980538045, 104981503048, 253813177447

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

PROG

(PARI) lista(nn) = {my(v=vector(nn+2, i, 1)); for(n=1, nn, v[n+2]=sum(k=1, 1+(3*n)\5, v[k]*v[n+2-k])); v; } \\ Jinyuan Wang, Mar 18 2020

CROSSREFS

Cf. A000992, A030036, A030037, A030039.

Sequence in context: A052702 A058766 A127601 * A030040 A274493 A324770

Adjacent sequences: A030035 A030036 A030037 * A030039 A030040 A030041

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Jinyuan Wang, Mar 18 2020

STATUS

approved