A295241 Expansion of e.g.f. 1/(1 - x*exp(x)/(1 - x*exp(2*x)/(1 - x*exp(3*x)/(1 - x*exp(4*x)/(1 - ...))))), a continued fraction.

1, 1, 6, 63, 1024, 23025, 671196, 24295537, 1059233008, 54376011009, 3229888525300, 218930722589601, 16744189595081928, 1431509929349664385, 135727622625718838092, 14175933450070804285665, 1621447178602905553394656, 202067106261905557292228097, 27312528199766157940311518436

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Mathematica

nmax = 18; CoefficientList[Series[1/(1 + ContinuedFractionK[-x Exp[k x], 1, {k, 1, nmax}]), {x, 0, nmax}], x] Range[0, nmax]!

Crossrefs

Cf. A295240, A295242.

Sequence in context: A166893 A213644 A280476 * A271607 A360481 A079244

Adjacent sequences: A295238 A295239 A295240 * A295242 A295243 A295244

Keyword

nonn

Author

Ilya Gutkovskiy, Nov 18 2017

Status

approved