id:A140523 - OEIS Search Results

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If the highest power of the prime p that divides n is p^b(n,p), then a(n) is the least nonnegative integer that equals some sum{p|n} (+or-)p^b(n, p).

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0, 2, 3, 4, 5, 1, 7, 8, 9, 3, 11, 1, 13, 5, 2, 16, 17, 7, 19, 1, 4, 9, 23, 5, 25, 11, 27, 3, 29, 0, 31, 32, 8, 15, 2, 5, 37, 17, 10, 3, 41, 2, 43, 7, 4, 21, 47, 13, 49, 23, 14, 9, 53, 25, 6, 1, 16, 27, 59, 2, 61, 29, 2, 64, 8, 6, 67, 13, 20, 0, 71, 1, 73, 35, 22, 15, 4, 8, 79, 11, 81, 39, 83 (list; graph; listen)

	OFFSET	`1,2`
	LINKS	`Leroy Quet, Home Page (listed in lieu of email address)`
	EXAMPLE	`60 has the prime factorization: 2^2 * 3^1 * 5^1. The least nonnegative integer that is made by either adding or subtracting the prime powers in this prime factorization is: a(60) = + 2^2 + 3^1 - 5^1 = 2.`
	CROSSREFS	`Sequence in context: A081806 A059806 A100994 this_sequence A017666 A030105 A037893` `Adjacent sequences: A140520 A140521 A140522 this_sequence A140524 A140525 A140526`
	KEYWORD	`nonn`
	AUTHOR	`Leroy Quet Jul 02 2008`
	EXTENSIONS	`Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 25 2009`

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Last modified December 5 08:23 EST 2009. Contains 170348 sequences.

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