|
Search: id:A086237
|
|
|
| A086237 |
|
Decimal expansion of Porter's Constant. |
|
+0
2
|
|
| 1, 4, 6, 7, 0, 7, 8, 0, 7, 9, 4, 3, 3, 9, 7, 5, 4, 7, 2, 8, 9, 7, 7, 9, 8, 4, 8, 4, 7, 0, 7, 2, 2, 9, 9, 5, 3, 4, 4, 9, 9, 0, 3, 3, 2, 2, 4, 1, 4, 8, 8, 7, 7, 7, 7, 3, 9, 9, 6, 8, 5, 8, 1, 7, 6, 1, 6, 6, 0, 6, 7, 4, 4, 3, 2, 9, 0, 4, 4, 8, 0, 8, 4, 3, 0, 3, 6, 9, 3, 2, 7, 5, 1, 1, 1, 7, 4, 0, 1, 5, 2, 1, 2, 6, 6
(list; cons; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
6*ln2/Pi^2 (3*ln2 + 4 Gamma - 24/Pi^2*Zeta'(2) - 2)
|
|
REFERENCES
|
S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, p. 157
Julian Havil, Gamma, Exploring Euler's Constant, Princeton University Press, Princeton and Oxford, 2003, page 113.
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Porter's Constant
|
|
EXAMPLE
|
1.4670...
|
|
MATHEMATICA
|
(* first do *) Needs["NumericalMath`NLimit`"], (* then *) RealDigits[ N[ Log[64] / Pi^2(Log[8] + 4EulerGamma - 24/Pi^2 ND[ Zeta[z], z, 2, WorkingPrecision -> 200, Scale -> 10^-20, Terms -> 20] - 2) - 1/2, 111]][[1]] (from EWW May 20 2004)
|
|
CROSSREFS
|
Sequence in context: A082237 A042976 A090142 this_sequence A136323 A135798 A021218
Adjacent sequences: A086234 A086235 A086236 this_sequence A086238 A086239 A086240
|
|
KEYWORD
|
nonn,cons
|
|
AUTHOR
|
Eric Weisstein (eric(AT)weisstein.com), Jul 12, 2003
|
|
|
Search completed in 0.002 seconds
|
