A092461 Let S_n be the set {n!/(i!*j!*k!) | i, j, k > 0, i+j+k = n} (i.e., trinomial coefficients that involve all three monomials). Then a(n) is the smallest gcd of any three members of S_n.

6, 12, 10, 30, 7, 28, 6, 30, 11, 66, 13, 91, 6, 12, 34, 102, 19, 38, 12, 22, 23, 46, 15, 65, 6, 12, 29, 435, 62, 124, 6, 34, 10, 36, 37, 703, 6, 24, 41, 82, 86, 43, 20, 46, 47, 94, 21, 70, 6, 12, 53, 159, 10, 35, 21, 58, 59, 177, 61, 1891, 14, 28, 10, 30, 67, 134, 12, 14, 142, 142

Offset

3,1

Comments

Are there any 1's in this sequence?

Links

Table of n, a(n) for n=3..72.

Example

S_7 = {42, 105, 140, 210}, gcd(42, 105, 140) = 7, gcd(42, 105, 210) = 21, gcd(42, 140, 210) = 14, gcd(105, 140, 210) = 35. So a(7) is the smallest of these, 7.

Crossrefs

Cf. A046816, A091963.

Sequence in context: A272305 A114797 A048726 * A102809 A060479 A028998

Adjacent sequences: A092458 A092459 A092460 * A092462 A092463 A092464

Keyword

nonn,less

Author

David Wasserman, Mar 25 2004

Status

approved