id:A104886 - OEIS Search Results

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Sequence A048138, the number of times that a positive integer occurs as the sum of proper divisors, if Goldbach partitions (two odd primes, which account for most of the values) are ignored.

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0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 3, 1, 1, 0, 1, 0, 1, 0, 1, 2, 3, 0, 3, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2 (list; graph; listen)

	OFFSET	`2,5`
	FORMULA	`a(n) = number of m such that the sum of the proper divisors of m is n, ignoring m if m is the product of two different odd primes.`
	EXAMPLE	`a(13)=1 because s(27)=1+3+9 and s(35)=1+5+7=13 however 35's factors 3 and 5 are a Goldbach partition, so 35 is not counted.`
	CROSSREFS	`Cf. A048138, A001065, A061358.` `Sequence in context: A079549 A070088 A131851 this_sequence A139351 A125925 A036578` `Adjacent sequences: A104883 A104884 A104885 this_sequence A104887 A104888 A104889`
	KEYWORD	`nonn`
	AUTHOR	`Nathan McNew (agreatnate(AT)yahoo.com), Mar 29 2005`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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