Search: id:A022544
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%I A022544
%S A022544 3,6,7,11,12,14,15,19,21,22,23,24,27,28,30,31,33,35,38,39,42,43,44,46,
%T A022544 47,48,51,54,55,56,57,59,60,62,63,66,67,69,70,71,75,76,77,78,79,83,84,
%U A022544 86,87,88,91,92,93,94,95,96,99,102,103,105,107,108,110,111,112,114,115,
               118,119,120,123,124,126,127,129,131,132,133,134,135,138,139,140,141,
               142,143,147,150,151,152,154,155,156,158,159,161,163,165,166,167,168,
               171,172,174,175,176,177,179,182,183,184,186,187,188,189,190,191,192,
               195,198,199
%N A022544 Numbers that are not the sum of 2 squares.
%C A022544 Conjecture: if n is not the sum of 2 squares sigma(n)==0 mod 4 (the converse 
               does not hold). - Benoit Cloitre (benoit7848c(AT)orange.fr), May 
               19 2002
%C A022544 lim n->inf a(n)/n = 1.
%D A022544 S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 98-104.
%H A022544 T. D. Noe, <a href="b022544.txt">Table of n, a(n) for n=1..10000</a>
%H A022544 S. R. Finch, <a href="http://algo.inria.fr/bsolve/constant/lr/lr.html">
               Landau-Ramanujan Constant</a>
%H A022544 <a href="Sindx_Su.html#ssq">Index entries for sequences related to sums 
               of squares</a>
%F A022544 Numbers having some prime factor p == 3 (mod 4) to an odd power. sigma(n) 
               == 0 (mod 4) because of this prime factor. Every n == 3 (mod 4) is 
               an element. First differences are always 1, 2, 3 or 4, each occurring 
               infinitely often. - David W. Wilson (davidwwilson(AT)comcast.net), 
               Mar 09 2005
%o A022544 (PARI) for(n=0,200,if(sum(i=0,n,sum(j=0,i,if(i^2+j^2-n,0,1)))==0,print1((n),
               ",")))
%Y A022544 Complement of A001481.
%Y A022544 Sequence in context: A136272 A101184 A087643 this_sequence A091067 A120511 
               A022550
%Y A022544 Adjacent sequences: A022541 A022542 A022543 this_sequence A022545 A022546 
               A022547
%K A022544 nonn,nice
%O A022544 1,1
%A A022544 N. J. A. Sloane (njas(AT)research.att.com).
%E A022544 More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), May 19 2002

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