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A144070 Euler transform of powers of 6. 1
1, 6, 57, 488, 4140, 34128, 276792, 2208312, 17389710, 135354340, 1042965042, 7964675400, 60337114778, 453795079932, 3390657365970, 25182770127240, 186007882964211, 1366948744701066, 9998341947058175, 72811720605519840 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

N. J. A. Sloane, Transforms

FORMULA

G.f.: Product_{j>0} 1/(1-x^j)^(6^j).

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->6^j)(n): seq (a(n), n=0..40);

CROSSREFS

6th column of A144074.

Sequence in context: A181430 A001593 A124546 * A095900 A161434 A138414

Adjacent sequences:  A144067 A144068 A144069 * A144071 A144072 A144073

KEYWORD

nonn

AUTHOR

Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 09 2008

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Last modified February 16 18:43 EST 2012. Contains 205939 sequences.