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A307084 Expansion of 1/(1 - 1^1*x/(1 - 2^2*x/(1 - 3^3*x/(1 - 4^4*x/(1 - 5^5*x/(1 - ...)))))), a continued fraction. 3
1, 1, 5, 133, 31769, 95375641, 4353388262525, 3536446917781244413, 58773633134246903294470769, 22612364832863674279489837434733681, 224919094724957152626614652086970769074005045, 63900685361274641827300282511815586348785532532913331893 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..37

FORMULA

a(n) ~ A002109(n). - Vaclav Kotesovec, Apr 15 2021

MATHEMATICA

nmax = 11; CoefficientList[Series[1/(1 + ContinuedFractionK[-k^k x, 1, {k, 1, nmax}]), {x, 0, nmax}], x]

PROG

(PARI) a(n) = my(A=1+O(x)); for(i=1, n, A=1-(n-i+1)^(n-i+1)*x/A); polcoef(1/A, n); \\ Seiichi Manyama, Apr 15 2021

CROSSREFS

Cf. A000312, A002109, A285380.

Sequence in context: A344395 A280305 A085506 * A132508 A215218 A159355

Adjacent sequences:  A307081 A307082 A307083 * A307085 A307086 A307087

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Mar 23 2019

STATUS

approved

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Last modified August 9 15:33 EDT 2022. Contains 356026 sequences. (Running on oeis4.)