Search: id:A036353
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%I A036353
%S A036353 0,1,9801,94109401,903638458801,8676736387298001,83314021887196947001,
%T A036353 799981229484128697805801,7681419682192581869134354401,
%U A036353 73756990988431941623299373152801
%N A036353 Square pentagonal numbers.
%H A036353 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PentagonalSquareNumber.html">Link to a section of The World of Mathematics.</
               a>
%F A036353 a(n) = 9602*a(n-1) - a(n-2) + 200; g.f.: (1+198*x+x^2)/((1-x)*(1-9602*x+x^2)) 
               - Warut Roonguthai (warut822(AT)yahoo.com) Jan 05 2001
%F A036353 a(n+1)=4801*a(n)+100+980*(24*a(n)^2+a(n))^0.5. G.f.: h(z)=(z*(1+198*z+z^2))/
               ((1-z)*(1-960*z+z^2)) - Richard Choulet (richardchoulet(AT)yahoo.fr), 
               Sep 19 2007
%F A036353 a(n+1)=4801*a(n)+100+980*(24*a(n)^2+a(n))^0.5 - Richard Choulet (richardchoulet(AT)yahoo.fr), 
               Sep 21 2007
%o A036353 (PARI) for(n=0,10^9,g=(n*(3*n-1)/2); if(issquare(g),print(g)))
%Y A036353 Cf. A046172, A046173, A000326, A001110.
%Y A036353 Cf. A001079 A046173 A046172 A001078.
%Y A036353 Cf. A046172 A046173 A001079.
%Y A036353 Sequence in context: A156721 A156735 A113937 this_sequence A031687 A031597 
               A031777
%Y A036353 Adjacent sequences: A036350 A036351 A036352 this_sequence A036354 A036355 
               A036356
%K A036353 nonn,easy
%O A036353 0,3
%A A036353 Jean-Francois Chariot (jeanfrancois.chariot(AT)afoc.alcatel.fr)
%E A036353 More terms from Eric Weisstein (eric(AT)weisstein.com)

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