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A295836 Expansion of e.g.f. 1/(1 - x - x/((1 - x^2)^(1/2) - x/((1 - x^3)^(1/3) - x/((1 - x^4)^(1/4) - ...)))), a continued fraction. 0
1, 2, 10, 87, 1080, 17545, 352380, 8440425, 234965360, 7457438961, 265861218420, 10520716922485, 457671900756840, 21711259726987545, 1115540615067642764, 61720568687920627485, 3658760405598389451360, 231360521536071025523425, 15545857268826205753051620, 1106160524990742248108302221 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..19.

FORMULA

a(n) ~ n! * c * 4^n / n^(3/2), where c = 3.9289476103424541066892... - Vaclav Kotesovec, Nov 28 2017

MATHEMATICA

nmax = 19; CoefficientList[Series[1/(1 - x + ContinuedFractionK[-x, (1 - x^k)^(1/k), {k, 2, nmax}]), {x, 0, nmax}], x] Range[0, nmax]!

CROSSREFS

Cf. A088354.

Sequence in context: A202745 A208833 A145082 * A245496 A185388 A245009

Adjacent sequences:  A295833 A295834 A295835 * A295837 A295838 A295839

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Nov 28 2017

STATUS

approved

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Last modified January 19 04:09 EST 2020. Contains 331031 sequences. (Running on oeis4.)