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A100074 Decimal expansion of Pi^2/(12*e^3). 0
0, 4, 0, 9, 4, 8, 2, 2, 2, 4, 2, 3, 4, 0, 0, 5, 6, 3, 5, 2, 1, 9, 4, 1, 8, 0, 4, 6, 3, 3, 8, 0, 7, 2, 4, 2, 0, 9, 3, 7, 2, 7, 2, 9, 9, 7, 4, 5, 6, 8, 9, 6, 1, 8, 4, 7, 7, 7, 8, 1, 7, 0, 0, 3, 0, 2, 3, 0, 9, 3, 4, 7, 4, 9, 3, 8, 1, 0, 9, 7, 9, 2, 5, 8, 5, 4, 7, 4, 0, 1, 3, 4, 3, 4, 3, 2, 8, 0, 3, 5, 9, 2, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..102.

R. William Gosper, Mourad E. H. Ismail and Ruiming Zhang, On some strange summation formulas, Illinois J. Math., Vol. 37, No. 2 (1993), pp. 240-277.

Jonathan Sondow and Eric Weisstein, e, MathWorld.

Eric Weisstein's World of Mathematics, Series.

FORMULA

Equals Sum_{k>=1} (-1)^(k+1) * cos(sqrt(k^2*Pi^2 - 9))/k^2 (Gosper et al., 1993). - Amiram Eldar, Jun 09 2021

EXAMPLE

0.040948222423400563521941804633807242093727299745689...

MATHEMATICA

RealDigits[Pi^2/(12*E^3), 10, 100][[1]] (* Amiram Eldar, Jun 09 2021 *)

CROSSREFS

Sequence in context: A188777 A016683 A338107 * A330422 A035102 A242015

Adjacent sequences:  A100071 A100072 A100073 * A100075 A100076 A100077

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Nov 02 2004

STATUS

approved

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Last modified May 26 10:17 EDT 2022. Contains 354086 sequences. (Running on oeis4.)