A122251 - OEIS

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A122251

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

1, 9, 729, 4782969, 282429536481, 150094635296999121, 6461081889226673298932241, 2503155504993241601315571986085849, 8727963568087712425891397479476727340041449 (list; graph; refs; listen; history; internal format)

	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.`
	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: A053847 A053854 A053764 * A015481 A185274 A145183` `Adjacent sequences: A122248 A122249 A122250 * A122252 A122253 A122254`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 27 2006`

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Last modified February 16 13:12 EST 2012. Contains 205909 sequences.