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Search: id:A144072
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| A144072 |
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Euler transform of powers of 8. |
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+0
2
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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; 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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G.f.: Product_{j=1..inf} 1/(1-x^j)^(8^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->8^j)(n): seq (a(n), n=0..40);
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CROSSREFS
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8th column of A144074.
Sequence in context: A091801 A050919 A083227 this_sequence A060570 A001575 A090237
Adjacent sequences: A144069 A144070 A144071 this_sequence A144073 A144074 A144075
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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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