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A334365
Decimal expansion of Sum_{k>=0} 1/(4*k+3)!.
4
1, 6, 6, 8, 6, 5, 1, 0, 4, 4, 1, 7, 9, 5, 2, 4, 7, 5, 1, 1, 4, 9, 3, 9, 7, 6, 4, 4, 8, 2, 6, 5, 0, 9, 0, 7, 7, 6, 6, 5, 7, 7, 4, 6, 0, 2, 6, 7, 8, 6, 2, 4, 0, 2, 2, 7, 8, 4, 0, 6, 8, 5, 1, 5, 1, 0, 6, 9, 8, 5, 8, 1, 4, 5, 6, 5, 4, 2, 1, 1, 3, 3, 2, 9, 2, 3, 8, 8, 5, 4, 2, 7, 3, 2, 8, 5, 3, 4, 7, 9, 9, 3, 0, 3, 5, 2, 4, 7, 7, 0, 9
OFFSET
0,2
LINKS
Michael I. Shamos, A catalog of the real numbers, (2011). See p. 209.
FORMULA
Equals (sinh(1) - sin(1))/2.
EXAMPLE
1/3! + 1/7! + 1/11! + ... = 0.1668651044179524751...
MATHEMATICA
RealDigits[(Sinh[1] - Sin[1])/2, 10, 111] [[1]]
PROG
(PARI) suminf(k=0, 1/(4*k+3)!) \\ Michel Marcus, Apr 25 2020
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Ilya Gutkovskiy, Apr 24 2020
STATUS
approved