A285409 G.f.: 1/(1 + x/(1 + 2*x^2/(1 + 3*x^3/(1 + 4*x^4/(1 + 5*x^5/(1 + 6*x^6/(1 + ... ))))))), a continued fraction.

1, -1, 1, 1, -3, 1, -1, 5, 3, -13, 19, -41, 9, 55, -55, 113, -99, 65, -113, -491, 843, -245, -325, 1295, -783, -121, -887, -287, 2685, -6911, 7559, 12413, -36669, 12179, 42211, -59681, 55281, -22313, 38633, 19361, -465579, 877913, -711185, -575339, 2540955, -3065165, 1681907, -29953, -1287375, 7293527, -19374047

Offset: 0

Author

Ilya Gutkovskiy, Apr 18 2017

Keywords

• sign

Examples

			G.f.: A(x) = 1 - x + x^2 + x^3 - 3*x^4 + x^5 - x^6 + 5*x^7 + 3*x^8 - 13*x^9 + ...
		

Crossrefs

Cf. A007325, A088357.

Programs

Mathematica

nmax = 50; CoefficientList[Series[1/(1 + ContinuedFractionK[k x^k, 1, {k, 1, nmax}]), {x, 0, nmax}], x]