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A295072 Expansion of 1/(1 - x/(1 - x^4/(1 - x^10/(1 - x^20/(1 - x^35/(1 - ... - x^(k*(k+1)*(k+2)/6)/(1 - ...))))))), a continued fraction. 1
1, 1, 1, 1, 1, 2, 3, 4, 5, 7, 10, 14, 19, 26, 36, 51, 71, 98, 135, 188, 262, 364, 504, 699, 971, 1350, 1874, 2600, 3608, 5011, 6959, 9661, 13409, 18615, 25846, 35887, 49821, 69163, 96018, 133310, 185082, 256951, 356722, 495245, 687568, 954575, 1325251, 1839865, 2554325, 3546245, 4923342 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..50.

FORMULA

G.f.: 1/(1 - x/(1 - x^4/(1 - x^10/(1 - x^20/(1 - x^35/(1 - ... - x^A000292(k)/(1 - ...))))))), a continued fraction.

MATHEMATICA

nmax = 50; CoefficientList[Series[1/(1 + ContinuedFractionK[-x^(k (k + 1) (k + 2)/6), 1, {k, 1, nmax}]), {x, 0, nmax}], x]

CROSSREFS

Cf. A000292, A206740, A285484, A295073.

Sequence in context: A017898 A003269 A087221 * A206739 A107586 A206737

Adjacent sequences:  A295069 A295070 A295071 * A295073 A295074 A295075

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Nov 13 2017

STATUS

approved

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Last modified April 11 00:03 EDT 2021. Contains 342877 sequences. (Running on oeis4.)