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Search: id:A144071
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| A144071 |
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Euler transform of powers of 7. |
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+0
2
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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; 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)^(7^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->7^j)(n): seq (a(n), n=0..40);
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CROSSREFS
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7th column of A144074.
Sequence in context: A045642 A068667 A043042 this_sequence A061546 A002281 A097983
Adjacent sequences: A144068 A144069 A144070 this_sequence A144072 A144073 A144074
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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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