id:A097621 - OEIS Search Results

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In canonical prime factorization of n replace the k-th prime power by k.

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1, 2, 3, 4, 5, 6, 6, 7, 8, 10, 9, 12, 10, 12, 15, 11, 12, 16, 13, 20, 18, 18, 14, 21, 15, 20, 16, 24, 17, 30, 18, 19, 27, 24, 30, 32, 20, 26, 30, 35, 21, 36, 22, 36, 40, 28, 23, 33, 24, 30, 36, 40, 25, 32, 45, 42, 39, 34, 26, 60, 27, 36, 48, 28, 50, 54, 29, 48, 42, 60, 30, 56, 31 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(A00961(n))=n; a(a(n))=A097622(n); a(a(a(n)))=A097623(n);` `a(n)<=n; a(n)=n iff 60 mod n = 0: a(A018266(n))=A018266(n);` `a(A097624(n)) = n and a(m) <> n for n < A097624(n).`
	FORMULA	`Multiplicative with: p^e -> A095874(p^e), p prime.`
	EXAMPLE	`n=600 = 2^3 * 3 * 5^2 = A00961(7)A00961(3)A00961(15) ->` `-> 7 * 3 * 15 = 315 = a(600).`
	CROSSREFS	`Cf. A000961, A003963.` `Sequence in context: A076946 A064524 A153249 this_sequence A017851 A061468 A084766` `Adjacent sequences: A097618 A097619 A097620 this_sequence A097622 A097623 A097624`
	KEYWORD	`nonn,mult`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 17 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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