A025623 Numbers of form 5^i*8^j, with i, j >= 0.

1, 5, 8, 25, 40, 64, 125, 200, 320, 512, 625, 1000, 1600, 2560, 3125, 4096, 5000, 8000, 12800, 15625, 20480, 25000, 32768, 40000, 64000, 78125, 102400, 125000, 163840, 200000, 262144, 320000, 390625, 512000, 625000, 819200, 1000000, 1310720

Offset: 1

Author

David W. Wilson

Keywords

• easy
• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Subsequence of A003592.

Programs

Mathematica

n = 10^6; Flatten[Table[5^i*8^j, {i, 0, Log[5, n]}, {j, 0, Log[8, n/5^i]}]] // Sort (* Amiram Eldar, Sep 25 2020 *)

Formula

Sum_{n>=1} 1/a(n) = (5*8)/((5-1)*(8-1)) = 10/7. - Amiram Eldar, Sep 25 2020

a(n) ~ exp(sqrt(2*log(5)*log(8)*n)) / sqrt(40). - Vaclav Kotesovec, Sep 25 2020

a(n) = 5^A025653(n) * 8^A025673(n). - R. J. Mathar, Jul 06 2025