Search: id:A034178
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%I A034178
%S A034178 1,0,1,1,1,0,1,1,2,0,1,1,1,0,2,2,1,0,1,1,2,0,1,2,2,0,2,1,1,0,1,2,2,0,2,
%T A034178 2,1,0,2,2,1,0,1,1,3,0,1,3,2,0,2,1,1,0,2,2,2,0,1,2,1,0,3,3,2,0,1,1,2,0,
%U A034178 1,3,1,0,3,1,2,0,1,3,3,0,1,2,2,0,2,2,1,0,2,1,2,0,2,4,1,0,3
%N A034178 Number of solutions to n = a^2-b^2, a>b>=0.
%C A034178 Also, number of ways n can be expressed as the sum of consecutive odd 
               numbers.(e.g. 45 = 45 = 13+15+17 = 5+7+9+11+13, so a(45)=3). - Naohiro 
               Nomoto (n_nomoto(AT)yabumi.com), Feb 26 2002
%C A034178 a(A042965(n))>0, a(A016825(n))=0; also number of occurrences of n in 
               A094728. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               May 24 2004
%H A034178 T. D. Noe, <a href="b034178.txt">Table of n, a(n) for n=1..2000</a>
%F A034178 a(2k) = A038548(2k)-A001227(k). a(2k+1) = A038548(2k+1). - Naohiro Nomoto 
               (n_nomoto(AT)yabumi.com), Feb 26 2002
%Y A034178 Cf. A058957, A016825.
%Y A034178 Sequence in context: A110475 A086971 A088434 this_sequence A131341 A074169 
               A099362
%Y A034178 Adjacent sequences: A034175 A034176 A034177 this_sequence A034179 A034180 
               A034181
%K A034178 easy,nonn,nice
%O A034178 1,9
%A A034178 Erich Friedman (erich.friedman(AT)stetson.edu)

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