id:A083206 - OEIS Search Results

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Number of subsets of divisors of n having equal sums as their complements.

+0
8

0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 17, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, 0, 14, 0, 0, 0, 1, 0, 13, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 2, 0, 1 (list; graph; listen)

	OFFSET	`1,24`
	COMMENT	`a(n)=0 for deficient numbers n (A005100), but the converse is not true, as 18 is abundant (A005101) and a(18)=0, see A083211;` `a(n)=1 for perfect numbers n (A000396), see A083209 for all numbers with a(n)=1;` `records: A083213(k)=a(A083212(k)).`
	LINKS	`R. Zumkeller, Table of n, a(n) for n = 1..800` `Reinhard Zumkeller, Illustration of initial terms`
	EXAMPLE	`a(24)=3: 1+2+3+4+8+12=6+24, 1+3+6+8+12=2+4+24, 4+6+8+12=1+2+3+24.`
	CROSSREFS	`Cf. A083207, A083208, A083209, A083210, A083211, A000005, A000203, A082729, A033630, A065205.` `Sequence in context: A085393 A128980 A096693 this_sequence A069531 A035677 A143276` `Adjacent sequences: A083203 A083204 A083205 this_sequence A083207 A083208 A083209`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 22 2003`

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Last modified March 17 15:31 EDT 2010. Contains 173524 sequences.

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