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A200137 Decimal expansion of the negated digamma function at 3/5.

%I A200137 #12 Jun 02 2022 05:43:04
%S A200137 1,5,4,0,6,1,9,2,1,3,8,9,3,1,9,0,4,1,4,7,6,0,6,6,3,9,4,8,8,0,6,2,3,1,
%T A200137 9,4,1,5,1,0,5,3,4,2,5,4,6,8,9,6,0,7,2,0,8,2,6,6,6,8,5,2,6,3,2,6,1,1,
%U A200137 6,8,8,4,1,2,4,1,1,0,2,4,6,6,0,7,3,3,4,2,4,6,7,7,1,9,7,7,8,8,2,0,1,0,0,5,7
%N A200137 Decimal expansion of the negated digamma function at 3/5.
%H A200137 <a href="/index/Di#differential_equations">Index entries for sequences related to the digamma function</a>
%F A200137 Psi(3/5) = -gamma +Pi*sqrt( 1-2/sqrt 5)/2 -5*log(5)/4 +sqrt(5)*log((3+sqrt 5)/2)/4.
%e A200137 Psi(3/5) = -1.540619213893190414760663948806231941510...
%p A200137 -gamma+Pi*sqrt(1-2/sqrt(5))/2-5*log(5)/4+sqrt(5)/4*log(3/2+sqrt(5)/2) ; evalf(%) ;
%t A200137 RealDigits[-PolyGamma[3/5], 10, 105] // First (* _Jean-François Alcover_, Feb 11 2013 *)
%o A200137 (PARI) -psi(3/5) \\ _Charles R Greathouse IV_, Jul 19 2013
%Y A200137 Cf. A020759, A047787, A020777, A200134-A200138
%K A200137 nonn,cons
%O A200137 1,2
%A A200137 _R. J. Mathar_, Nov 13 2011
%E A200137 More terms from _Jean-François Alcover_, Feb 11 2013