A355631 - OEIS

%I #17 Aug 02 2022 10:52:59

%S 10,11,28,29,31,32,34,35,37,82,83,85,86,88,89,91,92,94,95,97,98,100,

%T 101,103,104,106,110,112,113,115,116,118,119,121,244,245,247,248,250,

%U 251,253,254,256,257,259,260,262,263,265,266,268,269,271,272,274,275,277,278,280

%N List of numbers k such that A355627(k) > 0.

%C A positive integer p is in this list iff it can be written as p = Product_{i = 1..k} (3 + 1/t_i) with a positive integer k and integers t_i >= 2.

%C The sequence does not contain multiples of 3, see comments in A355627.

%H Markus Sigg, <a href="/A355631/b355631.txt">Table of n, a(n) for n = 1..13637</a>

%e 10 = (3 + 1/4) * (3 + 1/13). 100 = (3 + 1/2) * (3 + 1/7) * (3 + 1/34) * (3 + 1/1133). 280 = (3 + 1/4) * (3 + 1/7) * (3 + 1/22) * (3 + 1/2614) * (3 + 1/6831253).

%o (PARI) See A355626.

%Y Cf. A001651, A355626, A355627, A355628, A355629, A355630.

%K nonn

%O 1,1

%A _Markus Sigg_, Jul 15 2022