A225155 Decimal expansion of Pi/(4*e) + e/(3*Pi).

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

Offset

0,1

Comments

Approximates Euler Mascheroni constant giving 3 correct decimal places.

The constant is not known to be transcendental, or even irrational. - Balarka Sen, May 06 2013

Links

Table of n, a(n) for n = 0..1000

Example

0.5773504972584854585501148923768706139231...

Mathematica

RealDigits[(3*Pi^2 + 4*E^2)/(12*E*Pi), 10, 100][[1]] (* G. C. Greubel, Aug 30 2018 *)

Prog

(PARI) default(realprecision, 1020); x=10*Pi/exp(1)/4+10*exp(1)/Pi/3; d=0; for (n=0, 1000, d=floor(x); x=(x-d)*10; print1(d", ")) \\
(Magma) R:= RealField(100); (3*Pi(R)^2 + 4*Exp(2))/(12*Pi(R)*Exp(1)); // G. C. Greubel, Aug 30 2018

Crossrefs

Cf. A000796, A001113, A061360, A086056, A001620, A225572 (continued fraction).

Sequence in context: A258408 A210623 A020760 * A011269 A093723 A065773

Adjacent sequences: A225152 A225153 A225154 * A225156 A225157 A225158

Keyword

nonn,cons,easy

Author

Jimmy Zotos, May 01 2013

Extensions

More terms from Balarka Sen, May 02 2013

Status

approved