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A163298 Sum of divisors of n minus binary order of n. 1
1, 2, 2, 5, 3, 9, 5, 12, 9, 14, 8, 24, 10, 20, 20, 27, 13, 34, 15, 37, 27, 31, 19, 55, 26, 37, 35, 51, 25, 67, 27, 58, 42, 48, 42, 85, 32, 54, 50, 84, 36, 90, 38, 78, 72, 66, 42, 118, 51, 87, 66, 92, 48, 114, 66, 114, 74, 84, 54, 162, 56, 90, 98, 121, 77, 137, 61, 119, 89, 137 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = A000203(n) - A029837(n).

EXAMPLE

a(1) = 1 - 0 = 1;

a(2) = 3 - 1 = 2;

a(3) = 4 - 2 = 3.

MATHEMATICA

Table[DivisorSigma[1, n] - Ceiling[Log[2, n]], {n, 100}] (* G. C. Greubel, Dec 18 2016 *)

CROSSREFS

Cf. A000203 (sum of divisors), A029837 (binary order).

Sequence in context: A075545 A006307 A152991 * A133440 A331520 A160793

Adjacent sequences:  A163295 A163296 A163297 * A163299 A163300 A163301

KEYWORD

nonn,less

AUTHOR

Juri-Stepan Gerasimov, Jul 25 2009

EXTENSIONS

Entries checked by R. J. Mathar, May 21 2010

STATUS

approved

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Last modified September 17 03:42 EDT 2021. Contains 347478 sequences. (Running on oeis4.)