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A144068 Euler transform of powers of 4. 1
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 (d*p(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.