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Position of 3^n in A051037 (5-smooth numbers).
4

%I #12 Sep 23 2024 02:58:30

%S 1,3,8,17,31,50,77,112,157,211,276,355,448,554,676,815,973,1149,1344,

%T 1561,1801,2064,2351,2663,3003,3371,3766,4190,4647,5135,5657,6212,

%U 6802,7430,8094,8797,9539,10322,11147,12014,12925,13881,14883,15933,17031,18178,19375,20624,21925,23281,24690

%N Position of 3^n in A051037 (5-smooth numbers).

%H Zak Seidov, <a href="/A188426/b188426.txt">Table of n, a(n) for n = 0..150</a>

%F A051037(a(n)) = 3^n.

%F a(n) ~ c * n^3, where c = log(3)^2/(6*log(2)*log(5)) = 0.180317536836709... - _Vaclav Kotesovec_ and _Amiram Eldar_, Sep 22 2024

%Y Cf. A051037, A188425, A188427 (powers of 2 and 5).

%K nonn

%O 0,2

%A _Zak Seidov_, Mar 31 2011