A351909 - OEIS

%I #17 Sep 01 2022 16:22:30

%S 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,

%T 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,

%U 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

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

%H Benjamin Green and Terence Tao, <a href="https://arxiv.org/abs/math/0606088">Linear equations in primes</a>, arXiv:math/0606088 [math.NT], 2006-2008; Annals of Mathematics Second Series, Vol. 171, No. 3 (May, 2010), pp. 1753-1850.

%e 0.476374765953203405405022443454391813006549265499....

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

%Y Cf. A351907, A351908.

%K nonn,cons

%O 0,1

%A _Charles R Greathouse IV_, Feb 25 2022