A157290 Decimal expansion of 105/Pi^4.

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

Offset

1,3

Comments

The Product_{p = primes = A000040} (1+1/p^4), the quartic analog to A082020.

Links

Table of n, a(n) for n=1..105.

Index entries for transcendental numbers

Formula

Equals A013662/A013666 = Product_{i>=1} (1+1/A030514(i)).

Equals Sum_{k>=1} 1/A005117(k)^4 = 1 + Sum_{k>=1} 1/A113849(k). - Amiram Eldar, May 22 2020

Example

1.077928136741855194... = (1+1/2^4)*(1+1/3^4)*(1+1/5^4)*(1+1/7^4)*...

Maple

evalf(105/Pi^4) ;

Mathematica

RealDigits[105/\[Pi]^4, 10, 150][[1]]  (* Harvey P. Dale, Mar 20 2011 *)

Prog

(PARI) 105/Pi^4 \\ Charles R Greathouse IV, Sep 30 2022

Crossrefs

Cf. A005117, A013662, A013666, A030514, A082020, A113849.

Sequence in context: A187179 A110941 A182470 * A021566 A361010 A353231

Adjacent sequences: A157287 A157288 A157289 * A157291 A157292 A157293

Keyword

cons,easy,nonn

Author

R. J. Mathar, Feb 26 2009

Status

approved