A266262 - OEIS

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A266262

Decimal expansion of zeta'(-11) (the derivative of Riemann's zeta function at -11) (negated).

0, 1, 2, 7, 5, 2, 9, 8, 4, 4, 7, 9, 9, 6, 6, 6, 5, 6, 1, 1, 3, 5, 2, 2, 5, 2, 5, 4, 8, 8, 7, 2, 5, 7, 9, 8, 1, 5, 6, 2, 3, 8, 9, 3, 7, 0, 4, 9, 8, 7, 4, 2, 9, 2, 7, 9, 3, 2, 4, 6, 3, 6, 6, 6, 6, 1, 1, 4, 0, 7, 0, 2, 3, 2, 0, 6, 2, 1, 2, 4, 7, 4, 0, 9, 0, 4, 8, 1, 9, 3, 5, 4, 2

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1500

FORMULA

zeta'(-n) = HarmonicNumber(n)*BernoulliB(n+1)/(n+1) - log(A(n)), where A(n) is the n-th Bendersky constant.

zeta'(-11) = - 57844301/908107200 - log(A(11)).

EXAMPLE

-0.012752984479966656113522525488725798156238937049874292793246366661...

MATHEMATICA

Join[{0}, RealDigits[Zeta'[-11], 10, 100] // First]

CROSSREFS

Cf. A075700 (zeta'(0)), A084448 (zeta'(-1)), A240966 (zeta'(-2)), A259068 (zeta'(-3)), A259070 (zeta'(-5)), A259071 (zeta'(-6)), A259072 (zeta'(-7)), A259073 (zeta'(-8)), A266260 (zeta'(-9)), A266261 (zeta'(-10)), A266263 (zeta'(-12)), A260660 (zeta'(-13)), A266264 (zeta'(-14)), A266270 (zeta'(-15)), A266271 (zeta'(-16)), A266272 (zeta'(-17)), A266273 (zeta'(-18)), A266274 (zeta'(-19)), A266275 (zeta'(-20)).

Sequence in context: A178422 A372773 A296564 * A105387 A011232 A272699

Adjacent sequences: A266259 A266260 A266261 * A266263 A266264 A266265

KEYWORD

nonn,cons

AUTHOR

G. C. Greubel, Dec 25 2015

EXTENSIONS

Keyword cons added by Rick L. Shepherd, May 29 2016

STATUS

approved