A057559 Lexicographic ordering of NxNxNxN, where N={1,2,3,...}.

1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 2, 1, 1, 3, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 4, 1, 1, 2, 3, 1, 1, 3, 2, 1, 1, 4, 1, 1, 2, 1, 3, 1, 2, 2, 2, 1, 2, 3, 1, 1, 3, 1, 2, 1, 3, 2, 1, 1, 4, 1, 1, 2, 1, 1, 3, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 3, 1, 1, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 1, 1, 4, 1, 1, 1

Offset

1,8

Links

Table of n, a(n) for n=1..140.

Example

Flatten the list of ordered lattice points, (1,1,1,1) < (1,1,1,2) < (1,1,2,1) < ... as 1,1,1,1, 1,1,1,2, 1,1,2,1, ...

Mathematica

lexicographicLattice[{dim_, maxHeight_}]:= Flatten[Array[Sort@Flatten[(Permutations[#1]&)/@IntegerPartitions[#1+dim-1, {dim}], 1]&, maxHeight], 1]; Flatten@lexicographicLattice[{4, 4}]
(* by Peter J. C. Moses, Feb 10 2011 *)

Crossrefs

Cf. A057554, A057555, A057556, A057557, A057558, A186006.

Sequence in context: A023586 A023584 A015182 * A205375 A016010 A099837

Adjacent sequences: A057556 A057557 A057558 * A057560 A057561 A057562

Keyword

nonn

Author

Clark Kimberling, Sep 07 2000

Extensions

Extended by Clark Kimberling, Feb 10 2011

Status

approved