The On-Line Encyclopedia of Integer Sequences (OEIS)

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A271853

Decimal expansion of -zeta(-3/2), negated value of the Riemann zeta function at -3/2.
(history; published version)

#12 by Charles R Greathouse IV at Thu Apr 28 22:32:37 EDT 2016

STATUS

proposed

approved

#11 by Robert Price at Sun Apr 24 21:46:53 EDT 2016

STATUS

editing

proposed

#10 by Robert Price at Sun Apr 24 21:46:36 EDT 2016

MATHEMATICA

RealDigits[N[Zeta[-3/2], 100]] [[1]] (* Robert Price, Apr 24 2016 *)

STATUS

reviewed

editing

#9 by G. C. Greubel at Sun Apr 24 12:39:09 EDT 2016

STATUS

proposed

reviewed

#8 by Stanislav Sykora at Sat Apr 23 18:50:00 EDT 2016

STATUS

editing

proposed

#7 by Stanislav Sykora at Sat Apr 23 18:49:31 EDT 2016

CROSSREFS

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).

STATUS

proposed

editing

#6 by Stanislav Sykora at Sat Apr 23 18:45:08 EDT 2016

STATUS

editing

proposed

#5 by Stanislav Sykora at Sat Apr 23 18:42:46 EDT 2016

NAME

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

CROSSREFS

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), A211113 (-1/2), A247041 (5/2), A261804 (7/2).

#4 by Stanislav Sykora at Sat Apr 23 17:40:55 EDT 2016

CROSSREFS

C.f. 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), A211113, (-1/2), A247041, (5/2), A261804, (7/2).

#3 by Stanislav Sykora at Sat Apr 23 17:33:00 EDT 2016

NAME

allocated for Stanislav Sykora

Decimal expansion of -zeta(-3/2).

DATA

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, 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, 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

OFFSET

-1,1

LINKS

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

FORMULA

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

EXAMPLE

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

PROG

(PARI) -zeta(-3/2)

CROSSREFS

C.f. A002117, A013661, A013662, A013663, A021016 (-1,-13,-3), A021028 (-7), A021136 (-9), A021256 (-5), A059750, A078434, A211113, A247041, A261804, .

KEYWORD

allocated

nonn,cons,easy

AUTHOR

Stanislav Sykora, Apr 23 2016

STATUS

approved

editing