cp's OEIS Frontend

A195060 Numbers on the main diagonals and on the axes (x,y) in the square spiral whose vertices are the generalized pentagonal numbers A001318.

%I A195060 #15 Aug 17 2018 21:32:26
%S A195060 0,1,2,3,5,6,7,9,12,13,15,18,22,24,26,30,35,37,40,45,51,54,57,63,70,
%T A195060 73,77,84,92,96,100,108,117,121,126,135,145,150,155,165,176,181,187,
%U A195060 198,210,216,222,234,247,253,260,273,287,294,301,315,330
%N A195060 Numbers on the main diagonals and on the axes (x,y) in the square spiral whose vertices are the generalized pentagonal numbers A001318.
%C A195060 Union of A001318, A032528 and A045943, without repetitions.
%F A195060 a(2*n) = A001318(n). a(4*n+1) = A032528(n+1). a(4*n+3) = A045943(n+1).
%F A195060 Conjectures: a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - a(n-4) + a(n-8) - 2*a(n-9) + 2*a(n-10) - 2*a(n-11) + a(n-12); g.f.: -x*(1+x^2+x^3-x^4+x^5+x^7-2*x^8+x^11+2*x^9-2*x^10)  / ( (1+x)*(x^4+1)*(x^2+1)^2*(x-1)^3 ). - _R. J. Mathar_, Oct 11 2011
%Y A195060 Cf. A000326, A001318, A005449, A032528, A045943.
%K A195060 nonn
%O A195060 0,3
%A A195060 _Omar E. Pol_, Sep 08 2011