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Search: id:A144069
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| A144069 |
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Euler transform of powers of 5. |
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+0
2
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| 1, 5, 40, 285, 2020, 13876, 93885, 624480, 4100470, 26609290, 170940381, 1088260190, 6872684570, 43088845030, 268374618310, 1661512492031, 10229763359245, 62663268647185, 382039881168240, 2318974249801205, 14018511922088296
(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)^(5^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->5^j)(n): seq (a(n), n=0..40);
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CROSSREFS
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5th column of A144074.
Sequence in context: A124306 A124545 A125729 this_sequence A073505 A145841 A123943
Adjacent sequences: A144066 A144067 A144068 this_sequence A144070 A144071 A144072
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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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