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A144072
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Euler transform of powers of 8.
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1
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1, 8, 100, 1144, 12906, 141848, 1532276, 16290920, 170938483, 1773107760, 18208004664, 185316171472, 1871103319988, 18756665504080, 186798940872312, 1849265718114736, 18207140415436701, 178355043327697976, 1738966407826985884
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| N. J. A. Sloane, Transforms
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FORMULA
| G.f.: Product_{j>0} 1/(1-x^j)^(8^j).
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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->8^j)(n): seq (a(n), n=0..40);
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CROSSREFS
| 8th column of A144074.
Sequence in context: A181034 A083227 A179485 * A060570 A199816 A001575
Adjacent sequences: A144069 A144070 A144071 * A144073 A144074 A144075
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KEYWORD
| nonn
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AUTHOR
| Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 09 2008
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