A301412 G.f. A(x) satisfies: A(x) = 1/(1 - x*A(x)/(1 - x*A(x)/(1 - x^2*A(x)/(1 - x^2*A(x)/(1 - x^3*A(x)/(1 - x^3*A(x)/(1 - ...))))))), a continued fraction.

1, 1, 3, 11, 46, 205, 957, 4614, 22803, 114898, 588052, 3048612, 15975922, 84489890, 450363757, 2417104782, 13050778500, 70841037919, 386357165119, 2116097719571, 11634392901981, 64188480019008, 355255552604237, 1971866447509917, 10973973061151433, 61222237473973758

Offset

0,3

Links

Table of n, a(n) for n=0..25.

Example

G.f. A(x) = 1 + x + 3*x^2 + 11*x^3 + 46*x^4 + 205*x^5 + 957*x^6 + 4614*x^7 + 22803*x^8 + 114898*x^9 + ...

Crossrefs

Cf. A006958, A088368, A192728.

Sequence in context: A151137 A151138 A151139 * A198413 A151140 A271959

Adjacent sequences: A301409 A301410 A301411 * A301413 A301414 A301415

Keyword

nonn

Author

Ilya Gutkovskiy, Mar 20 2018

Status

approved