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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. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 22 08:21 EDT 2022. Contains 353933 sequences. (Running on oeis4.)