A301362 G.f. A(x) satisfies: A(x) = 1/(1 + x*A(x)/(1 + x^2*A(x)/(1 + x^3*A(x)/(1 + x^4*A(x)/(1 + ...))))), a continued fraction.

1, -1, 2, -4, 9, -22, 56, -148, 403, -1123, 3190, -9204, 26900, -79473, 236952, -712046, 2154304, -6556711, 20060425, -61661700, 190326371, -589671041, 1833130534, -5716318998, 17875708018, -56044448728, 176130887793, -554744916727, 1750798162859, -5536066777444, 17536100715442

Offset

0,3

Links

Table of n, a(n) for n=0..30.

Eric Weisstein's World of Mathematics, Rogers-Ramanujan Continued Fraction

Example

G.f. A(x) = 1 - x + 2*x^2 - 4*x^3 + 9*x^4 - 22*x^5 + 56*x^6 - 148*x^7 + 403*x^8 - 1123*x^9 + ...

Crossrefs

Cf. A007325, A192728.

Sequence in context: A244886 A143017 A307575 * A130018 A352176 A322504

Adjacent sequences: A301359 A301360 A301361 * A301363 A301364 A301365

Keyword

sign

Author

Ilya Gutkovskiy, Mar 19 2018

Status

approved