cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A126192 Product of the even divisors of 2n.

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%I A126192 #14 Jun 26 2022 02:15:12
%S A126192 2,8,12,64,20,576,28,1024,216,1600,44,110592,52,3136,3600,32768,68,
%T A126192 373248,76,512000,7056,7744,92,84934656,1000,10816,11664,1404928,116,
%U A126192 207360000,124,2097152,17424,18496,19600,5159780352,148,23104,24336,655360000,164
%N A126192 Product of the even divisors of 2n.
%H A126192 Robert Israel, <a href="/A126192/b126192.txt">Table of n, a(n) for n = 1..10000</a>
%F A126192 a(n) = 2^A000005(n) * A007955(n). - _Robert Israel_, Feb 01 2019
%p A126192 seq(mul(2*t,t=numtheory:-divisors(n)),n=1..100); # _Robert Israel_, Feb 01 2019
%t A126192 Table[Times@@Select[Divisors[2n],EvenQ],{n,50}] (* _Harvey P. Dale_, Jul 19 2011 *)
%t A126192 a[n_] := 2^(d = DivisorSigma[0, n]) * n^(d/2); Array[a, 100] (* _Amiram Eldar_, Jun 26 2022 *)
%Y A126192 Cf. A000005, A007955, A136655, A125911.
%K A126192 nonn
%O A126192 1,1
%A A126192 _N. J. A. Sloane_, Jul 14 2008