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A269353 Expansion of 1/(1-2x/(1-3x/(1-5x/(1-7x/(1-11x/...))))) where 2,3,5,7,11,... are the prime numbers. 4
1, 2, 10, 80, 910, 14180, 294820, 7898900, 262166950, 10401023300, 480352145980, 25403319156500, 1524514142067820, 103259722304891000, 7855753426977689320, 667222680003329539400, 62774912079259300426030 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..300

FORMULA

G.f.: 1/(1-2x/(1-3x/(1-5x/(1-7x/(1-11x/(1-13x/(...))))))), by definition.

MATHEMATICA

CoefficientList[Series[1/(1+ContinuedFractionK[-Prime[k]*x, 1, {k, 1, 50}]), {x, 0, 50}], x]

CROSSREFS

Cf. A000040, A285407.

Sequence in context: A133480 A008544 A227464 * A064312 A063902 A088351

Adjacent sequences:  A269350 A269351 A269352 * A269354 A269355 A269356

KEYWORD

nonn

AUTHOR

Benedict W. J. Irwin, Feb 25 2016

EXTENSIONS

Offset corrected by Vaclav Kotesovec, Aug 26 2017

STATUS

approved

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Last modified March 26 06:55 EDT 2019. Contains 321481 sequences. (Running on oeis4.)