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A271853 Decimal expansion of -zeta(-3/2), negated value of the Riemann zeta function at -3/2. 1

%I #12 Apr 28 2016 22:32:37

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

%T 5,4,6,9,0,2,4,9,8,4,6,0,0,9,7,2,9,9,6,8,3,4,6,4,5,4,9,8,3,4,9,2,4,9,

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

%N Decimal expansion of -zeta(-3/2), negated value of the Riemann zeta function at -3/2.

%H Stanislav Sykora, <a href="/A271853/b271853.txt">Table of n, a(n) for n = -1..1000</a>

%F Equals zeta(5/2)*3/(4*Pi)^2.

%e zeta(-3/2) = -0.025485201889833035949542986910704745469024984600972...

%t RealDigits[N[Zeta[-3/2], 100]] [[1]] (* _Robert Price_, Apr 24 2016 *)

%o (PARI) -zeta(-3/2)

%Y Values of |zeta(x)| for various x: A002117 (3), A013661 (2), A013662 (4), A013663 (5), A021016 (-1,-13,-3), A021028 (-7), A021136 (-9), A021256 (-5), A059750 (1/2), A078434 (3/2), A179311 and A179836 (i), A211113 (-1/2), A247041 (5/2), A261804 (7/2).

%K nonn,cons,easy

%O -1,1

%A _Stanislav Sykora_, Apr 23 2016

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Last modified April 25 09:26 EDT 2024. Contains 371967 sequences. (Running on oeis4.)