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%I #11 Jun 13 2015 00:51:48
%S 1,135,11791,3186521,278253009,14755412411,24297576265,1288470373299,
%T 112511657189035,30406305506223725,2655135804746536821,
%U 140798562959107191995,231851453975691325309,12294795423043604534211,1073604668382849022129099,290141949335169200729049629
%N Numbers n such that n^2 = 67*m^2 + 67*m + 1.
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,9542163854,0,0,0,0,0,-1).
%F a(1)=1, a(2)=135, a(3)=11791, a(4)=3186521, a(5)=278253009, a(6)=14755412411, a(7)=9542163854*a(1)+a(6), a(8)=9542163854*a(2)+a(5), a(9)=9542163854*a(3)+a(4), a(10)=9542163854*a(4)+a(3), a(11)=9542163854*a(5)+a(2), a(12)=9542163854*a(6)+a(1), then a(n)=9542163854*a(n-6)-a(n-12).
%F G.f.: x*(x^11 +135*x^10 +11791*x^9 +3186521*x^8 +278253009*x^7 +14755412411*x^6 +14755412411*x^5 +278253009*x^4 +3186521*x^3 +11791*x^2 +135*x +1) / ((x^6 -97684*x^3 +1)*(x^6 +97684*x^3 +1)). [_Colin Barker_, Mar 07 2013]
%Y Cf. A106176 (associated m).
%K nonn,easy
%O 1,2
%A _Pierre CAMI_, Apr 24 2005
%E a(15)-a(16) from _Colin Barker_, Mar 07 2013
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