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A062681 Numbers that are sums of 2 or more consecutive squares in more than 1 way. 6

%I #19 Nov 27 2014 17:01:54

%S 365,1405,1730,2030,3281,3655,3740,4510,4705,4760,5244,5434,5915,7230,

%T 7574,8415,9385,11055,11900,12325,12524,14905,16745,17484,18879,19005,

%U 19855,20449,20510,21790,22806,23681,25580,25585,27230,27420,28985

%N Numbers that are sums of 2 or more consecutive squares in more than 1 way.

%C A subsequence of A174069; A111044 is the subsequence of numbers allowing at least 3 representations of the given form. - _M. F. Hasler_, Dec 23 2013

%H David W. Wilson, <a href="/A062681/b062681.txt">Table of n, a(n) for n = 1..10000</a>

%H G. Campbell et al., <a href="http://www.linkedin.com/groups/Sums-consecutive-squares-in-two-4510047.S.5819464952494174208">Sums of consecutive squares in two or more ways</a>, discussion in Number Theory group on LinkedIn, Dec 2013

%e 365 = 10^2 + 11^2 + 12^2 = 13^2 + 14^2.

%o (PARI) {N=200;A174069=[];A062681=[];for(i=2,N,for(k=1,i-1,setsearch(A174069,t=sum(j=i-k,i,j^2))&&(A062681=setunion(A062681,Set(t)))&&next;t>N^2*2&&break;A174069=setunion(A174069,Set(t))));A062681} \\ _M. F. Hasler_, Dec 22 2013

%Y Cf. A174069, A111044.

%K easy,nonn

%O 1,1

%A _Erich Friedman_, Jul 04 2001

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Last modified April 18 11:52 EDT 2024. Contains 371779 sequences. (Running on oeis4.)