A094272 - OEIS

A094272

Least m >= a(n-1)+n such that m!/(m-n)! is a multiple of a(n-1)!/(a(n-1)-(n-1))!.

1, 3, 6, 10, 16, 52, 1176, 687378, 236241851626, 2197451321740962081109754668237130, 2414396155710550624720051944524837499100253655538086242554948251375

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OFFSET

1,2

COMMENTS

a(1)=1. Main diagonal of triangle A094270.

If p is a prime factor of any of a(n-1)-(n-1) to a(n-1), then a(n) mod p < n.

LINKS

Martin Fuller, Table of n, a(n) for n = 1..12

Martin Fuller, PARI/GP program for A094272

EXAMPLE

Product of the terms of the 4th row = 7*8*9*10 = 5040. Product of the terms of the 5th row = 12*13*14*15*16 = 524160 = 104*5040.

CROSSREFS

Cf. A094270, A094271, A094273, A094274.

Sequence in context: A318290 A291986 A360889 * A236326 A308699 A286304

Adjacent sequences: A094269 A094270 A094271 * A094273 A094274 A094275

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Apr 27 2004

EXTENSIONS

Edited by Martin Fuller, Jun 13 2007

STATUS

approved