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A073582 Numbers n such that S(n) = n/2, where S(n) is the Kempner function A002034. 5
6, 8, 10, 14, 22, 26, 34, 38, 46, 58, 62, 74, 82, 86, 94, 106, 118, 122, 134, 142, 146, 158, 166, 178, 194, 202, 206, 214, 218, 226, 254, 262, 274, 278, 298, 302, 314, 326, 334, 346, 358, 362, 382, 386, 394, 398, 422, 446, 454, 458, 466, 478, 482, 502, 514 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Unique sequence such that A033677(a(k))-A033676(a(k)) approaches a(k)/2. - Joseph Biberstine, Dec 25 2004

Numbers n such that A000203(n) = 3 + n/2 + n. - Melvin Peralta, Aug 15 2016

Is this sequence "Twice the odd primes and 8"? - Joerg Arndt, Sep 13 2016

LINKS

Michel Marcus, Table of n, a(n) for n = 1..669

Wikipedia, Kempner function

MATHEMATICA

Select[Range@ 514, Function[n, m = 1; While[! Divisible[m!, n], m++]; m == n/2]] (* or *)

Select[Range@ 514, DivisorSigma[1, #] == 3 + #/2 + # &] (* Michael De Vlieger, Aug 15 2016 *)

CROSSREFS

Cf. A033676, A033677, A000203.

Sequence in context: A315853 A065858 A243537 * A048886 A349477 A161545

Adjacent sequences:  A073579 A073580 A073581 * A073583 A073584 A073585

KEYWORD

easy,nonn

AUTHOR

Jason Earls, Aug 28 2002

STATUS

approved

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Last modified May 28 18:24 EDT 2022. Contains 354122 sequences. (Running on oeis4.)