A102467 - OEIS

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A102467

Numbers such that the sum of numbers of prime factors with and without repetitions does not equal the number of divisors.

1, 12, 18, 20, 24, 28, 30, 36, 40, 42, 44, 45, 48, 50, 52, 54, 56, 60, 63, 66, 68, 70, 72, 75, 76, 78, 80, 84, 88, 90, 92, 96, 98, 99, 100, 102, 104, 105, 108, 110, 112, 114, 116, 117, 120, 124, 126, 130, 132, 135, 136, 138, 140, 144, 147, 148, 150, 152, 153, 154, 156 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`Complement of A102466; A000005(a(n)) <> A001221(a(n)) + A001222(a(n)).`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1000`
	FORMULA	`These are the numbers which are neither prime powers (>1) nor semiprimes. - M. F. Hasler, Jan 31 2008`
	PROG	`(Sage)` `def is_A102467(n) :` `return bool(sloane.A001221(n) <> 1 and sloane.A001222(n) <> 2)` `def A102467_list(n) :` `return [k for k in (1..n) if is_A102467(k)]` `A102467_list(156) # Peter Luschny, Feb 07 2012`
	CROSSREFS	`Cf. A135767.` `Sequence in context: A091196 A007624 A036456 * A126706 A123711 A200511` `Adjacent sequences: A102464 A102465 A102466 * A102468 A102469 A102470`
	KEYWORD	`nonn,changed`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 09 2005`

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Last modified February 17 04:21 EST 2012. Contains 205978 sequences.