A293855 G.f. A(x) = Sum_{n>=0} a(n)*x^n satisfies A(x) = 1/(1 - x^a(1) - x^a(2)/(1 - x^a(3) - x^a(4)/(1 - x^a(5) - x^a(6)/(1 - ... )))), a continued fraction.

1, 1, 2, 3, 5, 9, 15, 27, 47, 82, 145, 253, 445, 781, 1369, 2405, 4219, 7405, 12998, 22809, 40035, 70263, 123316, 216434, 379854, 666680, 1170079, 2053582, 3604217, 6325695, 11102130, 19485175, 34198108, 60020567, 105341129, 184882533, 324484395

Offset

0,3

Links

Table of n, a(n) for n=0..36.

Example

G.f. =  1 + x + 2*x^2 + 3*x^3 + 5*x^4 + 9*x^5 + 15*x^6 + 27*x^7 + 47*x^8 + 82*x^9 + 145*x^10 + ... = 1/(1 - x - x^2/(1 - x^3 - x^5/(1 - x^9 - x^15/(1 - x^27 - x^47/(1 - x^82 - x^145/(1 - ...)))))).

Crossrefs

Cf. A088352, A213411.

Sequence in context: A190138 A273905 A307074 * A022858 A301470 A090905

Adjacent sequences: A293852 A293853 A293854 * A293856 A293857 A293858

Keyword

nonn

Author

Ilya Gutkovskiy, Oct 17 2017

Status

approved