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- Albert Nijenhuis, Anita E. Solow, Herbert S. Wilf
- J. Comb. Theory, Ser. A
- 1984

- Dale Beihoffer, Jemimah Hendry, Albert Nijenhuis, Stan Wagon
- Electr. J. Comb.
- 2005

The Frobenius problem, also known as the postage-stamp problem or the money-changing problem, is an integer programming problem that seeks nonnegative integer solutions to x 1 a 1 + · · · + x n a n = M , where a i and M are positive integers. In particular, the Frobenius number f (A), where A = {a i }, is the largest M so that this equation fails to have a… (More)

- Albert Nijenhuis
- J. Comb. Theory, Ser. A
- 1976

- Albert Nijenhuis
- 1996

Both vector 1-forms (tensor elds of type (1,1)) and Lie brackets map (tangent) vectors to the same. The former do so in a manner that is linear over the ring of functions; the latter are bilinear, but only over the constants. By composing one Lie bracket and m vector 1-forms (we consider 2 m 4) in all possible ways many maps of vector elds are obtained,… (More)

- Albert Nijenhuis, Herbert S. Wilf
- J. Comb. Theory, Ser. A
- 1979

- Curtis Greene, Albert Nijenhuis, Herbert S. Wilf
- J. Comb. Theory, Ser. A
- 1984

If p(n, k) is the number of partitions of n into parts <k. then the sequence { p(k, li), p(k + 1, Ii)....} is periodic modulo a prime p. We find the minimum period Q = Q(li, p) of this sequence. More generally, we find the minimum period, modulo the number of partitions of n whose parts all lie in a fixed finite set T of positive integers. We find the… (More)

- Albert Nijenhuis, Herbert S. Wilf
- J. Comb. Theory, Ser. A
- 1975

In this note we describe a general principle for selecting at random from a collection of combinatorial objects, where " at random " means in such a way that each of the objects has equal probability, a priori, of being selected. We apply this principle by displaying two algorithms, the first of which will select a random partition of an integer n, and the… (More)

- Ovidiu Furdui, Albert Nijenhuis
- The American Mathematical Monthly
- 2002