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A291274 a(n) = [x^n] 1/(1 - n*x/(1 - n*x^2/(1 - n*x^3/(1 - n*x^4/(1 - n*x^5/(1 - ...)))))), a continued fraction. 2
1, 1, 4, 36, 384, 5125, 81864, 1519833, 32219136, 768352149, 20367510000, 594270942705, 18929706034176, 653744865197242, 24333393186194848, 971177936039212500, 41376191798281502720, 1874320475909920820607, 89961819584112859211712, 4560744533588836253021837 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

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

FORMULA

a(n) = A286933(n,n).

a(n) ~ exp(1) * n^n. - Vaclav Kotesovec, Aug 26 2017

MATHEMATICA

Table[SeriesCoefficient[1/(1 + ContinuedFractionK[-n x^i, 1, {i, 1, n}]), {x, 0, n}], {n, 0, 19}]

CROSSREFS

Main diagonal of A286933.

Sequence in context: A266093 A198638 A019999 * A239112 A002894 A202828

Adjacent sequences:  A291271 A291272 A291273 * A291275 A291276 A291277

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Aug 22 2017

STATUS

approved

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Last modified May 26 02:35 EDT 2019. Contains 323579 sequences. (Running on oeis4.)