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A296074 Sum of deficiencies of the proper divisors of n. 6
0, 1, 1, 2, 1, 4, 1, 3, 3, 6, 1, 5, 1, 8, 7, 4, 1, 9, 1, 9, 9, 12, 1, 2, 5, 14, 8, 13, 1, 16, 1, 5, 13, 18, 11, 3, 1, 20, 15, 8, 1, 24, 1, 21, 18, 24, 1, -9, 7, 27, 19, 25, 1, 20, 15, 14, 21, 30, 1, -1, 1, 32, 24, 6, 17, 40, 1, 33, 25, 40, 1, -27, 1, 38, 32, 37, 17, 48, 1, -1, 22, 42, 1, 9, 21, 44, 31, 26, 1, 18, 19, 45, 33, 48, 23, -36, 1, 53, 36, 33 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16384

FORMULA

a(n) = Sum_{d|n, d<n} A033879(d).

a(n) = A296075(n) - A033879(n).

EXAMPLE

For n = 6, whose proper divisors are 1, 2, 3, their deficiencies are 1, 1, 2, thus a(6) = 1+1+2 = 4.

For n = 12, whose proper divisors are 1, 2, 3, 4, 6, their deficiencies are 1, 1, 2, 1, 0, thus a(12) = 1+1+2+1+0 = 5.

PROG

(PARI)

A033879(n) = ((2*n)-sigma(n));

A296074(n) = sumdiv(n, d, (d<n)*A033879(d));

CROSSREFS

Cf. A033879.

Cf. also A294886, A294887, A294888, A294889, A293438 (product of).

Sequence in context: A243504 A292257 A317837 * A239451 A216223 A078072

Adjacent sequences:  A296071 A296072 A296073 * A296075 A296076 A296077

KEYWORD

sign

AUTHOR

Antti Karttunen, Dec 04 2017

STATUS

approved

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Last modified August 18 07:39 EDT 2019. Contains 326075 sequences. (Running on oeis4.)