A295289 Expansion of 1/(1 + x + x^2/(1 + 2*x + x^2/(1 + 3*x + x^2/(1 + 4*x + x^2/(1 + ...))))), a continued fraction.

1, -1, 0, 3, -8, 9, 19, -141, 448, -759, -951, 14355, -71810, 238617, -421622, -1283181, 17699702, -110524503, 494858579, -1480719213, 12947578, 41684591673, -396443074054, 2562153015315, -12548536326806, 39305562343881, 52542301031459, -2158744047173613

Offset

0,4

Links

Table of n, a(n) for n=0..27.

Mathematica

nmax = 27; CoefficientList[Series[1/(1 + x + ContinuedFractionK[x^2, 1 + (k + 1) x, {k, 1, nmax}]), {x, 0, nmax}], x]

Crossrefs

Cf. A000110, A001464, A006789.

Sequence in context: A080517 A264898 A248194 * A212849 A191487 A176205

Adjacent sequences: A295286 A295287 A295288 * A295290 A295291 A295292

Keyword

sign

Author

Ilya Gutkovskiy, Nov 19 2017

Status

approved