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.

A134605 Composite numbers such that the square root of the sum of squares of their prime factors (with multiplicity) is an integer.

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%I A134605 #16 Jan 22 2019 20:40:01
%S A134605 16,48,81,320,351,486,512,625,1080,1260,1350,1375,1792,1836,2070,2145,
%T A134605 2175,2401,2730,2772,3072,3150,3510,4104,4305,4625,4650,4655,4998,
%U A134605 5880,6000,6174,6545,7098,7128,7182,7650,7791,7889,7956,9030,9108,9295,9324
%N A134605 Composite numbers such that the square root of the sum of squares of their prime factors (with multiplicity) is an integer.
%H A134605 Hieronymus Fischer, <a href="/A134605/b134605.txt">Table of n, a(n) for n = 1..10000</a>
%e A134605 a(2)=48 since 48=2*2*2*2*3 and sqrt(4*2^2+3^2)=sqrt(25)=5.
%t A134605 srssQ[n_]:=IntegerQ[Sqrt[Total[Flatten[Table[#[[1]],#[[2]]]&/@ FactorInteger[ n]]^2]]]; Select[Range[10000],CompositeQ[#]&&srssQ[#]&] (* _Harvey P. Dale_, Jan 22 2019 *)
%o A134605 (PARI) is(n)=my(f=factor(n)); issquare(sum(i=1,#f~,f[i,1]^2*f[i,2])) && !isprime(n) && n>1 \\ _Charles R Greathouse IV_, Apr 29 2015
%Y A134605 Cf. A001597, A025475, A134333, A134344, A134376, A134600, A134602, A134608, A134611, A134616, A134618, A134620.
%K A134605 nonn
%O A134605 1,1
%A A134605 _Hieronymus Fischer_, Nov 11 2007