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Search: id:A144067
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| A144067 |
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Euler transform of powers of 3. |
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+0
2
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| 1, 3, 15, 64, 276, 1137, 4648, 18585, 73494, 286834, 1108470, 4243128, 16111333, 60718488, 227302086, 845689753, 3128786415, 11515509603, 42179651417, 153808740042, 558532554942, 2020325112767, 7281212274165, 26151068072301
(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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Product_{j=1..inf} 1/(1-x^j)^(3^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->3^j)(n): seq (a(n), n=0..40);
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CROSSREFS
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3rd column of A144074.
Sequence in context: A151241 A080948 A098102 this_sequence A001447 A106732 A052981
Adjacent sequences: A144064 A144065 A144066 this_sequence A144068 A144069 A144070
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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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