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.

A025316 Numbers that are the sum of 2 distinct nonzero squares in 6 or more ways.

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%I A025316 #21 Feb 28 2016 03:05:01
%S A025316 5525,9425,11050,12025,12325,13325,14365,15725,17225,17425,18785,
%T A025316 18850,19825,21125,22100,22525,23725,24050,24505,24650,25925,26650,
%U A025316 26825,27625,28730,28925,29725,31025,31265,31450,31525,32045,32825,34450,34645,34850
%N A025316 Numbers that are the sum of 2 distinct nonzero squares in 6 or more ways.
%C A025316 Subsequence of A025297. But sequences A025316 and A025297 are different. 2*5^10 = 19531250 = 3125^2 + 3125^2 (not distinct squares) = 2879^2 + 3353^2 = 2125^2 + 3875^2 = 1825^2 + 4025^2 = 955^2 + 4315^2 = 625^2 + 4375^2 is not in A025316. - _Vaclav Kotesovec_, Feb 27 2016
%C A025316 Numbers in A025297 but not in A025316 are exactly those numbers of the form 2*p_1^(2*a_1)*p_2^(2*a_2)*...*p_m^(2*a_m)*q^10 where p_i are primes of the form 4k+3 and q is a prime of the form 4k+1.  Thus 2*5^10 is the smallest term in A025297 that is not in A025316. - _Chai Wah Wu_, Feb 27 2016
%H A025316 Chai Wah Wu, <a href="/A025316/b025316.txt">Table of n, a(n) for n = 1..10000</a>
%H A025316 <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>
%t A025316 nn = 34850; t = Table[0, {nn}]; lim = Floor[Sqrt[nn - 1]]; Do[num = i^2 + j^2; If[num <= nn, t[[num]]++], {i, lim}, {j, i - 1}]; Flatten[Position[t, _?(# >= 6 &)]] (* _T. D. Noe_, Apr 07 2011 *)
%K A025316 nonn
%O A025316 1,1
%A A025316 _David W. Wilson_