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Search: id:A144068
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| A144068 |
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Euler transform of powers of 4. |
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+0
2
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| 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; listen)
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OFFSET
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0,2
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LINKS
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N. J. A. Sloane, Transforms
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FORMULA
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Product_{j=1..inf} 1/(1-x^j)^(4^j).
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MAPLE
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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);
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CROSSREFS
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4th column of A144074.
Sequence in context: A058408 A053906 A100236 this_sequence A121767 A092167 A124544
Adjacent sequences: A144065 A144066 A144067 this_sequence A144069 A144070 A144071
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 09 2008
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