id:A090624 - OEIS Search Results

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If n=product(pj^ej), i.e. written in its prime factorization, then a(n)=max_j{(pj-1)*ej}.

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1, 2, 2, 4, 2, 6, 3, 4, 4, 10, 2, 12, 6, 4, 4, 16, 4, 18, 4, 6, 10, 22, 3, 8, 12, 6, 6, 28, 4, 30, 5, 10, 16, 6, 4, 36, 18, 12, 4, 40, 6, 42, 10, 4, 22, 46, 4, 12, 8, 16, 12, 52, 6, 10, 6, 18, 28, 58, 4, 60, 30, 6, 6, 12, 10, 66, 16, 22, 6, 70, 4, 72, 36, 8, 18, 10, 12, 78, 4, 8, 40, 82, 6 (list; graph; listen)

	OFFSET	`2,2`
	COMMENT	`The highest power of k dividing n! (A090622) is close to, but below, n/a(k).`
	FORMULA	`a(p)=p-1. a(p^m)=(p-1)m. a(bc)=max(a(b), a(c)) for b and c coprime.`
	EXAMPLE	`72=2^33^2 so a(72)=max((2-1)3,(3-1)*2)=max(3,4)=4.`
	CROSSREFS	`Sequence in context: A137502 A143112 A167272 this_sequence A099735 A091279 A096002` `Adjacent sequences: A090621 A090622 A090623 this_sequence A090625 A090626 A090627`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Dec 06 2003`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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