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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. 1
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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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}.

LINKS

Table of n, a(n) for n=1..66.

CROSSREFS

Cf. A027750.

Sequence in context: A319376 A110633 A240232 * A059773 A127399 A240751

Adjacent sequences:  A119247 A119248 A119249 * A119251 A119252 A119253

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, May 10 2006

STATUS

approved

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Last modified April 23 14:15 EDT 2019. Contains 322386 sequences. (Running on oeis4.)