A307543 G.f. A(x) satisfies: A(x) = 1/(1 + (-x)^a(0)/(1 + (-x)^a(1)/(1 + (-x)^a(2)/(1 + (-x)^a(3)/(1 + ...))))), a continued fraction.

1, 1, 2, 4, 7, 12, 21, 37, 66, 118, 210, 373, 662, 1175, 2087, 3709, 6592, 11714, 20813, 36977, 65695, 116722, 207389, 368486, 654716, 1163271, 2066840, 3672256, 6524693, 11592791, 20597577, 36596883, 65023721, 115531233, 205270716, 364715855, 648010941, 1151357116

Offset: 0

Author

Ilya Gutkovskiy, Apr 14 2019

Keywords

• nonn

Examples

			G.f.: A(x) = 1 + x + 2*x^2 + 4*x^3 + 7*x^4 + 12*x^5 + 21*x^6 + 37*x^7 + 66*x^8 + ... = 1/(1 - x/(1 - x/(1 + x^2/(1 + x^4/(1 - x^7/(1 + ...)))))).
		

Crossrefs

Cf. A213411.