A029716 Partial sums of Kempner numbers A002034.

1, 3, 6, 10, 15, 18, 25, 29, 35, 40, 51, 55, 68, 75, 80, 86, 103, 109, 128, 133, 140, 151, 174, 178, 188, 201, 210, 217, 246, 251, 282, 290, 301, 318, 325, 331, 368, 387, 400, 405, 446, 453, 496, 507, 513, 536, 583, 589, 603, 613, 630, 643, 696, 705, 716, 723, 742

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

Comment from Jonathan Vos Post, May 18 2010 (Start):

The subsequence of primes begins: 3, 29, 103, 109, 151, 251, 331, 613, 643, 1033, 1151, 1277, 1307, 1399.

The subsequence of perfect powers begins: 1, 25, 128, 400, 1296. (End)

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..10000
• Li Hailong and Zhao Xiaopeng, On the Smarandache function and the k-th roots of a positive integer, 2004, p. 119.

Crossrefs

Cf. A000142, A002034, A007672 - A002034(n)!/n, A064759, A094371, A094372, A046022, A094404. Cf. also A006530, A057109, A001113, A122378, A122379, A122416, A122417. [Jonathan Vos Post, May 18 2010]

Programs

Mathematica

Accumulate[Table[found = 0; m = 1; While[found == 0, If[IntegerQ[m!/n], found = 1, m++]]; m, {n, 1, 100}]] (* Vaclav Kotesovec, Jul 29 2021 *)

Formula

a(n) ~ Pi^2 * n^2 / (12 * log(n)) [Li Hailong and Zhao Xiaopeng, 2004]. - Vaclav Kotesovec, Jul 29 2021

Extensions

More terms from Vaclav Kotesovec, Jul 29 2021