A144068 - OEIS

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A144068

Euler transform of powers of 4.

1, 4, 26, 148, 843, 4632, 25124, 133784, 703553, 3655340, 18800886, 95819580, 484416675, 2431094352, 12120072472, 60058765072, 295959923287, 1450980481036, 7079894939166, 34393241899772, 166390593502701, 801877654792696, 3850469199935412 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	LINKS	`Table of n, a(n) for n=0..22.` `N. J. A. Sloane, Transforms`
	FORMULA	`Product_{j>0} 1/(1-x^j)^(4^j).`
	MAPLE	with (numtheory): etr:= proc(p) local b; b:=proc(n) option remember; `if`(n=0, 1, add (add (dp(d), d=divisors(j)) b(n-j), j=1..n)/n) end end: a:=n-> etr(j->4^j)(n): seq (a(n), n=0..40);
	CROSSREFS	`4th column of A144074.` `Sequence in context: A100236 A180226 A223627 * A204062 A121767 A092167` `Adjacent sequences: A144065 A144066 A144067 * A144069 A144070 A144071`
	KEYWORD	`nonn`
	AUTHOR	`Alois P. Heinz, Sep 09 2008`
	STATUS	`approved`

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Last modified May 22 13:36 EDT 2013. Contains 225548 sequences.