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

1,2

Links

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

Formula

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

Mathematica

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 *)

Crossrefs

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

Sequence in context: A300634 A301356 A037243 * A114689 A280532 A342564

Adjacent sequences: A107707 A107708 A107709 * A107711 A107712 A107713

Keyword

nonn,easy

Author

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

Status

approved