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%I #14 Sep 23 2024 02:58:38
%S 1,2,4,7,12,19,27,38,52,68,87,110,137,167,201,240,284,332,386,446,511,
%T 582,660,745,836,934,1041,1155,1277,1407,1545,1692,1849,2015,2190,
%U 2376,2571,2777,2994,3222,3461,3711,3974,4249,4535,4834,5147,5473,5811,6164,6531,6911,7306,7716,8142,8582,9039,9511,9999,10503,11024,11563,12119,12692,13283,13892,14519
%N Position of 2^n in A051037 (5-smooth numbers).
%H Zak Seidov, <a href="/A188425/b188425.txt">Table of n, a(n) for n = 0..200</a>
%F A051037(a(n)) = 2^n.
%F a(n) ~ c * n^3, where c = log(2)^2/(6*log(3)*log(5)) = 0.045287775775708... - _Vaclav Kotesovec_ and _Amiram Eldar_, Sep 22 2024
%e 2^0 = 1 = A051037(1), hence a(0) = 1.
%e a(25) = 934 because 2^25 = 33554432 = A051037(934).
%Y Cf. A051037, A188426, A188427 (positions of powers of 3 and 5 in A051037).
%K nonn
%O 0,2
%A _Zak Seidov_, Mar 30 2011