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A248177 Decimal expansion of the real part of psi(i), i being the imaginary unit. 2
9, 4, 6, 5, 0, 3, 2, 0, 6, 2, 2, 4, 7, 6, 9, 7, 7, 2, 7, 1, 8, 7, 8, 4, 8, 2, 7, 2, 1, 9, 1, 0, 7, 2, 2, 4, 7, 6, 2, 6, 2, 9, 7, 1, 7, 6, 3, 5, 4, 1, 6, 2, 3, 2, 3, 2, 9, 8, 9, 7, 2, 4, 1, 1, 8, 9, 0, 5, 1, 1, 4, 7, 5, 9, 2, 8, 0, 6, 5, 3, 3, 8, 3, 4, 7, 0, 7, 0, 9, 4, 9, 5, 4, 5, 3, 6, 7, 1, 8, 1, 3, 7, 6, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

-1,1

LINKS

Stanislav Sykora, Table of n, a(n) for n = -1..2000

Wikipedia, Digamma function

FORMULA

psi(i) = -EulerGamma - Sum_{k>=0} ((k-1)/(k+1)/(k^2+1)) + A113319*i, where EulerGamma is the Euler-Mascheroni constant (A001620).

EXAMPLE

0.09465032062247697727187848272191072247626297176354162323298972411890...

MATHEMATICA

RealDigits[N[Re[PolyGamma[0, I]], 105]][[1]]  (* Vaclav Kotesovec, Oct 04 2014 *)

PROG

(PARI) real(psi(I))

CROSSREFS

Cf. A113319, A001620.

Sequence in context: A197155 A153756 A139720 * A194826 A198989 A255013

Adjacent sequences:  A248174 A248175 A248176 * A248178 A248179 A248180

KEYWORD

nonn,cons,easy

AUTHOR

Stanislav Sykora, Oct 03 2014

STATUS

approved

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Last modified March 30 18:30 EDT 2017. Contains 284302 sequences.