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.

A217390 Numbers n such that sum of squares of digits of n equals the sum of prime divisors of n.

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%I A217390 #22 Feb 25 2018 22:50:13
%S A217390 12,581,1014,1036,1180,1272,1746,2553,3420,3741,4140,4544,5104,5238,
%T A217390 5313,5966,7134,7272,8174,8346,8549,9153,9525,9536,10476,11070,11800,
%U A217390 12350,12882,13481,13702,14045,15341,15974,16415,16999,17051,17220,17444,18361,18798
%N A217390 Numbers n such that sum of squares of digits of n equals the sum of prime divisors of n.
%C A217390 n such that A003132(n) = A008472(n).
%H A217390 Andrew Howroyd, <a href="/A217390/b217390.txt">Table of n, a(n) for n = 1..1000</a>
%e A217390 581 =  7*83 is in the sequence because 5^2 + 8^2 + 1^2 = 7 + 83 = 90.
%p A217390 with(numtheory):A:= proc(n) add(u^2, u=convert(n, base, 10)) ; end proc: for i from 2 to 20000 do:x:=factorset(i):n1:=nops(x): s:=sum('x[i] ', 'i'=1..n1):if s=A(i) then printf(`%d, `,i):else fi:od:
%t A217390 Rest[Select[Range[20000], Total[Transpose[FactorInteger[#]][[1]]]==Total[IntegerDigits[#]^2]&]]
%o A217390 (PARI) ok(n)={vecsum(factor(n)[, 1]) == vecsum(apply(d->d^2, digits(n)))} \\ _Andrew Howroyd_, Feb 25 2018
%Y A217390 Cf. A003132, A008472.
%K A217390 nonn,easy,base
%O A217390 1,1
%A A217390 _Michel Lagneau_, Oct 05 2012