A351909 Decimal expansion of coefficient for prime quadruples in arithmetic progression: (3/4) * Product_{p > 3} 1 - (3p-1)/(p-1)^3.

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

Offset

0,1

Links

Table of n, a(n) for n=0..94.

Benjamin Green and Terence Tao, Linear equations in primes, arXiv:math/0606088 [math.NT], 2006-2008; Annals of Mathematics Second Series, Vol. 171, No. 3 (May, 2010), pp. 1753-1850.

Example

0.476374765953203405405022443454391813006549265499....

Prog

(PARI) .75*prodeulerrat(1 - (3*p-1)/(p-1)^3, 1, 5)

Crossrefs

Cf. A351907, A351908.

Sequence in context: A353668 A094641 A200021 * A112518 A228715 A351546

Adjacent sequences: A351906 A351907 A351908 * A351910 A351911 A351912

Keyword

nonn,cons

Author

Charles R Greathouse IV, Feb 25 2022

Status

approved