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Search: id:A144070
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| A144070 |
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Euler transform of powers of 6. |
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+0
2
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| 1, 6, 57, 488, 4140, 34128, 276792, 2208312, 17389710, 135354340, 1042965042, 7964675400, 60337114778, 453795079932, 3390657365970, 25182770127240, 186007882964211, 1366948744701066, 9998341947058175, 72811720605519840
(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)^(6^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->6^j)(n): seq (a(n), n=0..40);
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CROSSREFS
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6th column of A144074.
Sequence in context: A083696 A001593 A124546 this_sequence A095900 A161434 A138414
Adjacent sequences: A144067 A144068 A144069 this_sequence A144071 A144072 A144073
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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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