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A029716 Partial sums of Kempner numbers A002034. 1
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 (list; graph; refs; listen; history; text; internal format)
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 A162553 A310072

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

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Last modified September 19 19:28 EDT 2021. Contains 347564 sequences. (Running on oeis4.)