A025629 -id:A025629 - cp's OEIS frontend

A107710 Numbers of the form (6^i)*(13^j), with i, j >= 0.

1, 6, 13, 36, 78, 169, 216, 468, 1014, 1296, 2197, 2808, 6084, 7776, 13182, 16848, 28561, 36504, 46656, 79092, 101088, 171366, 219024, 279936, 371293, 474552, 606528, 1028196, 1314144, 1679616, 2227758, 2847312, 3639168, 4826809, 6169176

Offset: 1

Douglas Winston (douglas.winston(AT)srupc.com), Jun 10 2005

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

Cf. A025626, A025627, A025628, A025629, A064476, A107326, A107364, A107462, A107466, A108056, A108090.

n = 10^6; Flatten[Table[6^i*13^j, {i, 0, Log[6, n]}, {j, 0, Log[13, n/6^i]}]] // Sort (* Amiram Eldar, Sep 25 2020 *)

Sum_{n>=1} 1/a(n) = (6*13)/((6-1)*(13-1)) = 13/10. - Amiram Eldar, Sep 25 2020

a(n) ~ exp(sqrt(2*log(6)*log(13)*n)) / sqrt(78). - Vaclav Kotesovec, Sep 25 2020

A025663 Exponent of 6 (value of i) in n-th number of form 6^i*10^j.

Original entry on oeis.org

0, 1, 0, 2, 1, 0, 3, 2, 1, 0, 4, 3, 2, 1, 5, 0, 4, 3, 2, 6, 1, 5, 0, 4, 3, 7, 2, 6, 1, 5, 0, 4, 8, 3, 7, 2, 6, 1, 5, 0, 9, 4, 8, 3, 7, 2, 6, 1, 10, 5, 0, 9, 4, 8, 3, 7, 2, 11, 6, 1, 10, 5, 0, 9, 4, 8, 3, 12, 7, 2, 11, 6, 1, 10, 5, 0, 9, 4, 13, 8, 3, 12, 7, 2, 11, 6, 1, 10, 5, 14, 0, 9, 4, 13, 8, 3, 12, 7, 2, 11, 6

Offset: 1

David W. Wilson

nonn

Cf. A025629.

A025688 Exponent of 10 (value of j) in n-th number of form 6^i*10^j.

Original entry on oeis.org

0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 4, 1, 2, 3, 0, 4, 1, 5, 2, 3, 0, 4, 1, 5, 2, 6, 3, 0, 4, 1, 5, 2, 6, 3, 7, 0, 4, 1, 5, 2, 6, 3, 7, 0, 4, 8, 1, 5, 2, 6, 3, 7, 0, 4, 8, 1, 5, 9, 2, 6, 3, 7, 0, 4, 8, 1, 5, 9, 2, 6, 10, 3, 7, 0, 4, 8, 1, 5, 9, 2, 6, 10, 3, 7, 0, 11, 4, 8, 1, 5, 9, 2, 6, 10, 3, 7, 0, 11, 4, 8

Offset: 1

David W. Wilson

nonn

Cf. A025629.

cp's OEIS Frontend

A107710 Numbers of the form (6^i)*(13^j), with i, j >= 0.

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A025663 Exponent of 6 (value of i) in n-th number of form 6^i*10^j.

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A025688 Exponent of 10 (value of j) in n-th number of form 6^i*10^j.

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