A153506 Decimal expansion of (e+gamma+Pi+phi)/4, where gamma is the Euler-Mascheroni constant and phi is the golden ratio.

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

Offset

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..2500

Formula

Equals A003881+A019741+A134944+A001620/4. - R. J. Mathar, Jan 25 2009

Example

2.01378103392506654565850744477005148267922125220518796422...

Mathematica

RealDigits[(E + EulerGamma + Pi + GoldenRatio)/4, 10, 50][[1]] (* G. C. Greubel, Aug 17 2016 *)

Prog

(PARI) default(realprecision, 100); phi=(1+sqrt(5))/2; (exp(1) + Euler + Pi + phi)/4 \\ G. C. Greubel, Aug 31 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); phi:=(1+ Sqrt(5))/2; (Exp(1) + EulerGamma(R) + Pi(R) + phi)/4; // G. C. Greubel, Aug 31 2018

Crossrefs

Cf. A135000, A135001.

Sequence in context: A276561 A325746 A325842 * A325670 A271701 A271699

Adjacent sequences: A153503 A153504 A153505 * A153507 A153508 A153509

Keyword

nonn,cons

Author

Omar E. Pol, Dec 28 2008

Extensions

More digits from R. J. Mathar, Jan 22 2009

Status

approved