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.

A025315 Numbers that are the sum of 2 distinct nonzero squares in 5 or more ways.

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%I A025315 #21 Feb 28 2016 03:09:20
%S A025315 5525,8125,9425,10625,11050,12025,12325,13325,14365,15725,16250,17225,
%T A025315 17425,18125,18785,18850,19825,21125,21250,22100,22525,23125,23725,
%U A025315 24050,24505,24650,25625,25925,26650,26825,27625,28730,28925,29725,31025,31265
%N A025315 Numbers that are the sum of 2 distinct nonzero squares in 5 or more ways.
%C A025315 Subsequence of A025296. But sequences A025315 and A025296 are different. 2*5^8 = 781250 = 625^2 + 625^2 (not distinct squares) = 425^2 + 775^2 = 365^2 + 805^2 = 191^2 + 863^2 = 125^2 + 875^2 is not in A025315. - _Vaclav Kotesovec_, Feb 27 2016
%C A025315 Numbers in A025296 but not in A025315 are exactly those numbers of the form 2*p_1^(2*a_1)*p_2^(2*a_2)*...*p_m^(2*a_m)*q_1^8 or of the form 2*p_1^(2*a_1)*p_2^(2*a_2)*...*p_m^(2*a_m)*q_1^2*q_2^2 where p_i are primes of the form 4k+3 and q_1, q_2 are distinct primes of the form 4k+1.  Thus 2*5^2*13^2 = 8450 is the smallest term in A025296 that is not in A025315. - _Chai Wah Wu_, Feb 27 2016
%H A025315 Chai Wah Wu, <a href="/A025315/b025315.txt">Table of n, a(n) for n = 1..10000</a>
%H A025315 <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>
%t A025315 nn = 31265; 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, _?(# >= 5 &)]] (* _T. D. Noe_, Apr 07 2011 *)
%K A025315 nonn
%O A025315 1,1
%A A025315 _David W. Wilson_