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

1,2

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.

Formula

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

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 *)

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]

Sequence in context: A054731 A334129 A282064 * A284521 A360029 A162553

Adjacent sequences: A029713 A029714 A029715 * A029717 A029718 A029719

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Vaclav Kotesovec, Jul 29 2021

Status

approved