Search: id:A094196
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%I A094196
%S A094196 1,9,20,25,44,76,121,197,304,353,540,856,1301,2053,3112,3597,5448,8576,
%T A094196 12981,20425,30908,35709,54032,84996,128601,202289,306060,353585,534964,
%U A094196 841476,1273121,2002557,3029784,3500233,5295700,8329856,12602701
%N A094196 Indices of the start of a string of 24 consecutive squares whose sum 
               is a square.
%C A094196 The sequence could also include -11, -8 and -4; and if N is in the sequence, 
               then so is -23-N.
%C A094196 Equivalently, 24a(n)^2 + 552a(n) + 4324 is square.
%H A094196 K. S. Brown, <a href="http://www.mathpages.com/home/kmath147.htm">Sum 
               of Consecutive Nth Powers Equals an Nth Power</a>
%F A094196 Recurrence: a(n+12) = 10a(n+6) - a(n) + 92.
%F A094196 O.g.f.: x*(-1-8*x-11*x^2-5*x^3-19*x^4-32*x^5-35*x^6+4*x^7+3*x^8+x^9+3*x^10+4*x^11+4*x^12) 
               / ((-1+x) * (1-10*x^6+x^12)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Dec 02 2007
%o A094196 (PARI) for(n=1,15000000,if(issquare(sum(j=n,n+23,j^2)),print1(n,","))) 
               (from Klaus Brockhaus)
%Y A094196 Cf. A001032.
%Y A094196 Sequence in context: A156746 A064266 A050682 this_sequence A017497 A059108 
               A028566
%Y A094196 Adjacent sequences: A094193 A094194 A094195 this_sequence A094197 A094198 
               A094199
%K A094196 nonn
%O A094196 1,2
%A A094196 Lekraj Beedassy (blekraj(AT)yahoo.com), May 25 2004
%E A094196 More terms from Don Reble (djr(AT)hotmail.com) and Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), 
               Jun 01 2004

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