OFFSET
1,2
REFERENCES
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Suresh Govindarajan, Table of n, a(n) for n = 1..30
A. O. L. Atkin, P. Bratley, I. G. McDonald and J. K. S. McKay, Some computations for m-dimensional partitions, Proc. Camb. Phil. Soc., 63 (1967), 1097-1100. [Annotated scanned copy]DOI
S. Balakrishnan, S. Govindarajan and N. S. Prabhakar, On the asymptotics of higher-dimensional partitions, arXiv:1105.6231 [cond-mat.stat-mech], 2011.
S. P. Naveen, On The Asymptotics of Some Counting Problems in Physics, Thesis, Bachelor of Technology, Department of Physics, Indian Institute of Technology, Madras, May 2011.
MATHEMATICA
trans[x_] := If[x == {}, {}, Transpose[x]];
levptns[n_, k_] :=
If[k == 1, IntegerPartitions[n],
Join @@ Table[
Select[Tuples[levptns[#, k - 1] & /@ y],
And @@ (GreaterEqual @@@
trans[Flatten /@ (PadRight[#,
ConstantArray[n, k - 1]] & /@ #)]) &], {y,
IntegerPartitions[n]}]];
Table[levptns[n, 5] // Length, {n, 1, 7}] (* Robert P. P. McKone, Dec 18 2020 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Sean A. Irvine, Nov 14 2010
More terms found by Suresh Govindarajan, May 30 2011
STATUS
approved