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A336518 Decimal expansion of 1 + Pi/log(4). 0
3, 2, 6, 6, 1, 8, 0, 0, 7, 0, 9, 1, 3, 5, 9, 6, 9, 0, 4, 8, 1, 3, 8, 4, 1, 4, 7, 2, 8, 5, 8, 3, 3, 3, 4, 0, 5, 0, 8, 5, 9, 3, 0, 7, 3, 3, 8, 6, 1, 8, 9, 7, 7, 9, 2, 0, 9, 3, 0, 0, 8, 2, 7, 3, 9, 7, 0, 3, 0, 0, 4, 7, 6, 8, 6, 0, 6, 5, 2, 5, 5, 1, 1, 2, 9, 5, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Equals limit_{z->0} -z*Z(1-z, 1) - z*(Z(1-z, 1/4) - Z(1-z, 3/4))/(2^(1-z) - 2), where Z(v, w) is the Hurwitz zeta function.
Equals 1 + (PolyGamma(3/4) - PolyGamma(1/4)) / log(4).
EXAMPLE
3.26618007091359690481384147285833340508593073386189779209300827397030...
MAPLE
Digits := 100: 1 + Pi/log(4): evalf(%, 100)*10^86:
ListTools:-Reverse(convert(floor(%), base, 10));
PROG
(PARI) 1 + Pi/log(4) \\ Michel Marcus, Aug 10 2020
CROSSREFS
Sequence in context: A293549 A370377 A306443 * A189073 A107271 A196565
KEYWORD
nonn,cons
AUTHOR
Peter Luschny, Aug 10 2020
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)