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A107462 Numbers of the form (4^i)*(13^j), with i, j >= 0. 7

%I #11 Sep 24 2020 04:10:21

%S 1,4,13,16,52,64,169,208,256,676,832,1024,2197,2704,3328,4096,8788,

%T 10816,13312,16384,28561,35152,43264,53248,65536,114244,140608,173056,

%U 212992,262144,371293,456976,562432,692224,851968,1048576,1485172

%N Numbers of the form (4^i)*(13^j), with i, j >= 0.

%H Amiram Eldar, <a href="/A107462/b107462.txt">Table of n, a(n) for n = 1..10000</a>

%F Sum_{n>=1} 1/a(n) = (4*13)/((4-1)*(13-1)) = 13/9. - _Amiram Eldar_, Sep 24 2020

%F a(n) ~ exp(sqrt(2*log(4)*log(13)*n)) / sqrt(52). - _Vaclav Kotesovec_, Sep 24 2020

%t n = 10^6; Flatten[Table[4^i*13^j, {i, 0, Log[4, n]}, {j, 0, Log[13, n/4^i]}]] // Sort (* _Amiram Eldar_, Sep 24 2020 *)

%Y Subsequence of A107326.

%Y Cf. A025617, A025618, A025619, A025620, A025621, A107364, A107466, A108056, A108090.

%K nonn,easy

%O 1,2

%A Douglas Winston (douglas.winston(AT)srupc.com), Jun 09 2005

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Last modified September 3 12:24 EDT 2024. Contains 375669 sequences. (Running on oeis4.)