OFFSET
0,1
LINKS
Peter Bala, A continued fraction for A346441
D. Bowman and J. Mc Laughlin, Polynomial continued fractions, Acta Arith. 103 (2002), no. 4, 329-342.
Michael I. Shamos, A catalog of the real numbers (2011).
FORMULA
Equals 1/(3*e) + 2*sqrt(e)*cos(sqrt(3)/2)/3. - Amiram Eldar, Jul 18 2021
Continued fraction: 1/(1 + 1/(5 + 6/(119 + 120/(503 + ... + P(n-1)/((P(n) - 1) + ... ))))), where P(n) = (3*n)*(3*n - 1)*(3*n - 2) for n >= 1. See Bowman and Mc Laughlin, Corollary 10, p. 341 with m = 1, who also show that the constant is irrational. - Peter Bala, Feb 21 2024
EXAMPLE
0.8347194685772109622192832392...
MATHEMATICA
RealDigits[Sum[(-1)^k/(3*k)!, {k, 0, Infinity}], 10, 100][[1]] (* Amiram Eldar, Jul 18 2021 *)
PROG
(PARI) sumalt(k=0, (-1)^k/(3*k)!) \\ Michel Marcus, Jul 18 2021
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Sean A. Irvine, Jul 17 2021
STATUS
approved