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A057559 Lexicographic ordering of NxNxNxN, where N={1,2,3,...}. 5
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 23 07:38 EDT 2021. Contains 345395 sequences. (Running on oeis4.)