id:A119250 - OEIS Search Results

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A119250

Smallest number greater than n having a maximal number of divisors d such that d-1 are divisors of n.

+0
2

2, 6, 4, 6, 6, 12, 8, 30, 20, 66, 12, 60, 14, 24, 48, 30, 18, 84, 20, 30, 88, 276, 24, 60, 78, 42, 140, 30, 30, 84, 32, 90, 204, 630, 72, 60, 38, 60, 280, 90, 42, 84, 44, 60, 60, 1128, 48, 60, 200, 66, 468, 210, 54, 84, 168, 120, 580, 1770, 60, 420, 62, 96, 440, 90, 462, 84 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Let x(0)=1 and x(k)=LCM(x(k-1),d(k)) with = 1<=k<=A000005(n), where d(k)=(k-th divisor of n): A057643(n)=x(A000005(n)) and a(n)=Min{x(i):x(i)>n}.` `a(n) = n+1 iff n is an odd prime;` `A057643(n) = x(A000005(n)) and a(n) = Min{x(i): x(i)>n}.`
	CROSSREFS	`Cf. A027750.` `Sequence in context: A010465 A065630 A110633 this_sequence A059773 A127399 A151689` `Adjacent sequences: A119247 A119248 A119249 this_sequence A119251 A119252 A119253`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 10 2006`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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