id:A124508 - OEIS Search Results

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2^BigO(n) * 3^omega(n), where BigO=A001222 and omega=A001221, the numbers of prime factors of n with and without repetitions.

+0
8

1, 6, 6, 12, 6, 36, 6, 24, 12, 36, 6, 72, 6, 36, 36, 48, 6, 72, 6, 72, 36, 36, 6, 144, 12, 36, 24, 72, 6, 216, 6, 96, 36, 36, 36, 144, 6, 36, 36, 144, 6, 216, 6, 72, 72, 36, 6, 288, 12, 72, 36, 72, 6, 144, 36, 144, 36, 36, 6, 432, 6, 36, 72, 192, 36, 216, 6, 72, 36, 216, 6, 288, 6 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n) = A061142(n)A074816(n) = A000079(A001222(n))A000244(A001221(n));` `A124509 gives the range: A124509(n) = a(A124510(n)) and a(m) <> a(A124510(n)) for m < A124510(n);` `for primes p, q with p<>q: a(p) = 6; a(pq) = 36; a(p^k) = 32^k, k>0;` `for squarefree numbers m: a(m) = 6^omega(m);` `A001222(a(n)) = A001222(n)+1; A001221(a(n)) = 2 for n > 1;` `A124511(n) = a(a(n)); A124512(n) = a(a(a(n)));`
	LINKS	`R. Zumkeller, Table of n, a(n) for n = 1..10000` `Eric Weisstein's World of Mathematics, Prime Factorization` `Eric Weisstein's World of Mathematics, Smooth number`
	FORMULA	`Multiplicative with p^e -> 3*2^e, p prime and e>0.`
	CROSSREFS	`Cf. A007283, A000400, A003586, A005117.` `Adjacent sequences: A124505 A124506 A124507 this_sequence A124509 A124510 A124511` `Sequence in context: A095899 A109538 A040031 this_sequence A028317 A055665 A127402`
	KEYWORD	`nonn,mult`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 04 2006`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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