A109893 a(n) = least integer of the form (n!-1)(n!-2)...(n!-k)/n!.

10, 8855, 182637273, 187913191983517, 16299312030218924938187, 173083581780047419995380839040497, 300642522445723721070400405660702004585922575, 109109034687569422667248530075550555291614316919209445960161, 10269669381215922304236773275682334781908421087118493054965910074350106387039

Offset

3,1

Comments

k <= n. Subsidiary sequence: n such that k < n.

Links

Table of n, a(n) for n=3..11.

Example

a(3) = 5*4*3/6 =10. a(4) = 23*22*21*20/4! = 8855.

Maple

A109893 := proc(n) local k ; for k from 1 to n do if mul( n!-i, i=1..k) mod ( n! ) = 0 then RETURN( mul(n!-i, i=1..k)/n!) ; fi ; od: end: seq(A109893(n), n=3..12) ; # R. J. Mathar, Feb 13 2008

Crossrefs

Cf. A109892.

Sequence in context: A125543 A291562 A203589 * A208781 A125544 A137641

Adjacent sequences: A109890 A109891 A109892 * A109894 A109895 A109896

Keyword

nonn

Author

Amarnath Murthy, Jul 13 2005

Extensions

Corrected and extended by R. J. Mathar, Feb 13 2008

Status

approved