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A082898 a(n) = A082895(n)/n, where A082895(n) is the closest number to sigma(n) which is divisible by n. 2
1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 3, 1, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..100000

FORMULA

a(n) = floor[(floor(n/2)+sigma[n])/n], sigma() = A000203().

MATHEMATICA

Table[Floor[(Floor[n/2]+DivisorSigma[1, n])/n], {n, 1, 100}]

PROG

(PARI) A082898(n) = { my(s=sigma(n), a = ((s\n)*n), b = (1+(s\n))*n); if((b-s) <= abs(a-s), b, a)/n; }; \\ Antti Karttunen, Oct 09 2018

CROSSREFS

Cf. A082893, A082894, A082895, A082901.

Sequence in context: A161280 A160984 A346094 * A095999 A334948 A161238

Adjacent sequences:  A082895 A082896 A082897 * A082899 A082900 A082901

KEYWORD

nonn

AUTHOR

Labos Elemer, Apr 22 2003

STATUS

approved

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Last modified October 27 02:00 EDT 2021. Contains 348270 sequences. (Running on oeis4.)