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A024816 Antisigma(n): sum of numbers less than n which do not divide n. +0
16
0, 0, 2, 3, 9, 9, 20, 21, 32, 37, 54, 50, 77, 81, 96, 105, 135, 132, 170, 168, 199, 217, 252, 240, 294, 309, 338, 350, 405, 393, 464, 465, 513, 541, 582, 575, 665, 681, 724, 730, 819, 807, 902, 906, 957, 1009, 1080, 1052, 1168, 1182, 1254, 1280, 1377, 1365 (list; graph; listen)
OFFSET

1,3

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = n*(n+1)/2 - sigma(n) = A000217-A000203.

EXAMPLE

a(12)=50 as 5+7+8+9+10+11 = 50 (1,2,3,4,6 not included as they divide 12)

MATHEMATICA

Table[n(n + 1)/2 - DivisorSigma[1, n], {n, 55}] (Robert G. Wilson v)

CROSSREFS

Cf. A023896, A066760.

Sequence in context: A133066 A131988 A092593 this_sequence A007316 A163905 A135204

Adjacent sequences: A024813 A024814 A024815 this_sequence A024817 A024818 A024819

KEYWORD

easy,nonn,nice

AUTHOR

Paul Jobling (paul.jobling(AT)whitecross.com)

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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