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Search: id:A144068
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%I A144068
%S A144068 1,4,26,148,843,4632,25124,133784,703553,3655340,18800886,95819580,
%T A144068 484416675,2431094352,12120072472,60058765072,295959923287,1450980481036,
%U A144068 7079894939166,34393241899772,166390593502701,801877654792696,3850469199935412
%N A144068 Euler transform of powers of 4.
%H A144068 N. J. A. Sloane, <a href="transforms.txt"> Transforms</a>
%F A144068 Product_{j=1..inf} 1/(1-x^j)^(4^j).
%p A144068 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->4^j)(n): seq (a(n), n=0..40);
%Y A144068 4th column of A144074.
%Y A144068 Sequence in context: A058408 A053906 A100236 this_sequence A121767 A092167 
               A124544
%Y A144068 Adjacent sequences: A144065 A144066 A144067 this_sequence A144069 A144070 
               A144071
%K A144068 nonn
%O A144068 0,2
%A A144068 Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 09 2008

    
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Last modified December 6 19:58 EST 2009. Contains 170429 sequences.


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