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A144071
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Euler transform of powers of 7.
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1
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1, 7, 77, 770, 7609, 73178, 691971, 6438797, 59131499, 536802112, 4824305213, 42970458839, 379692684987, 3330902681785, 29030038318212, 251498296181846, 2166886679835829, 18575273870841254, 158486917413708492, 1346334588169264925
(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)^(7^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->7^j)(n): seq (a(n), n=0..40);
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CROSSREFS
| 7th column of A144074.
Sequence in context: A068667 A043042 A191465 * A061546 A002281 A097983
Adjacent sequences: A144068 A144069 A144070 * A144072 A144073 A144074
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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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