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A285381 G.f.: 1/(1 - 1!*x/(1 - 2!*x^2/(1 - 3!*x^3/(1 - 4!*x^4/(1 - 5!*x^5/(1 - 6!*x^6/(1 - ...))))))), a continued fraction. 0
1, 1, 1, 3, 5, 11, 33, 67, 169, 435, 1265, 3035, 8025, 22243, 60721, 191307, 491657, 1404371, 4089633, 12183835, 36872377, 126189219, 350136977, 1062359147, 3386475177, 10757830387, 36121721857, 120817807419, 482847966617, 1391650703939, 4654331013489 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

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

EXAMPLE

G.f.: A(x) = 1 + x + x^2 + 3*x^3 + 5*x^4 + 11*x^5 + 33*x^6 + 67*x^7 + 169*x^8 + ...

MATHEMATICA

nmax = 30; CoefficientList[Series[1/(1 + ContinuedFractionK[-k! x^k, 1, {k, 1, nmax}]), {x, 0, nmax}], x]

CROSSREFS

Cf. A000142, A088357, A285380.

Sequence in context: A154939 A121926 A063499 * A082856 A307140 A254402

Adjacent sequences:  A285378 A285379 A285380 * A285382 A285383 A285384

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 17 2017

STATUS

approved

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Last modified February 25 18:40 EST 2020. Contains 332256 sequences. (Running on oeis4.)