A122251 Numerators of Hankel transform of 1/(3n+1) (conjecture).

1, 9, 729, 4782969, 282429536481, 150094635296999121, 6461081889226673298932241, 2503155504993241601315571986085849, 8727963568087712425891397479476727340041449

Offset

0,2

Comments

General conjecture: numerators of Hankel transform of 1/(p*n+1) are given by (p^2)^sum{k=1..n, sum{j=0..n, floor(k/p^j)}}, for prime p.

Links

Table of n, a(n) for n=0..8.

Formula

a(n)=9^A122250(n); a(n)=9^sum{k=1..n, sum{j=0..n, floor(k/3^j)}};

Crossrefs

Cf. A122249.

Sequence in context: A053854 A053764 A255510 * A234611 A015481 A229930

Adjacent sequences: A122248 A122249 A122250 * A122252 A122253 A122254

Keyword

easy,nonn

Author

Paul Barry, Aug 27 2006

Status

approved