id:A065333 - OEIS Search Results

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Characteristic function of 3-smooth numbers, i.e. numbers of the form 2^i*3^j (i, j >= 0).

+0
10

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

	OFFSET	`0,1`
	COMMENT	`a(n) = signum(A065332(n)), where signum = A057427. a(n) = if A065330(n) = 1 then 1 else 0 = 1 - signum(A065330(n) - 1).`
	FORMULA	`a(n) = if n = A003586(k) for some k then 1 else 0.` `a(n) = Prod(0^floor(p/4): p prime and p\|n). - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Nov 19 2004` `Multiplicative with a(2^e) = a(3^e) = 1, a(p^e) = 0 for prime p > 3. Dirichlet g.f. 1/(1-2^-s)/(1-3^-s). - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Sep 01 2006`
	CROSSREFS	`Sequence in context: A115524 A117198 A054525 this_sequence A127972 A103451 A103452` `Adjacent sequences: A065330 A065331 A065332 this_sequence A065334 A065335 A065336`
	KEYWORD	`mult,nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Oct 29 2001`

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Last modified August 8 15:51 EDT 2008. Contains 142751 sequences.

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