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

0,3

Links

Table of n, a(n) for n=0..37.

Example

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.

Sequence in context: A005251 A014167 A103197 * A255062 A307058 A307060

Adjacent sequences: A307540 A307541 A307542 * A307544 A307545 A307546

Keyword

nonn

Author

Ilya Gutkovskiy, Apr 14 2019

Status

approved