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.

A066734 Numbers such that the nonzero product of the digits of its 4th power is also a 4th power.

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%I A066734 #21 Sep 20 2024 23:55:24
%S A066734 1,118,144,211,427,739,1836,8958,19638,20528,21454,22359,24533,26022,
%T A066734 27378,29648,33038,33204,33648,40226,40262,46416,47181,47198,49314,
%U A066734 53133,55273,55792,59559,59754,60924,61292,61763,61933,66408,68302
%N A066734 Numbers such that the nonzero product of the digits of its 4th power is also a 4th power.
%H A066734 Harry J. Smith, <a href="/A066734/b066734.txt">Table of n, a(n) for n = 1..1000</a>
%e A066734 118 is in the sequence because the 4th power of 118 is 193877776 and 1*9*3*8*7*7*7*7*6 = 3111696 = 42^4.
%t A066734 Do[a = Apply[Times, IntegerDigits[n^2]]; If[ a != 0 && IntegerQ[a^(1/2)], Print[n]], {n, 1, 10^4} ]
%t A066734 d4pQ[n_]:=Module[{t=Times@@IntegerDigits[n^4]},t!=0&&IntegerQ[Surd[t,4]]]; Select[Range[70000],d4pQ] (* _Harvey P. Dale_, Feb 20 2018 *)
%o A066734 (PARI) isok(k)={my(p=vecprod(digits(k^4))); p && ispower(p, 4)} \\ _Harry J. Smith_, Mar 20 2010
%Y A066734 Cf. A067071.
%K A066734 nonn,base
%O A066734 1,2
%A A066734 _Robert G. Wilson v_, Jan 15 2002