cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A048139 Number of planar partitions of n, when partitions that are rotations of each other (when regarded as 3-D objects) are counted only once.

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%I A048139 #8 Mar 30 2012 18:37:41
%S A048139 1,1,2,5,8,16,30,54,94,168,287,493,831,1391,2293,3769,6114,9867,15782,
%T A048139 25098,39598,62165,96935,150398,232021,356261,544220,827758,1253222,
%U A048139 1889655,2837455,4244505,6324993,9392009,13897056,20494991,30126628
%N A048139 Number of planar partitions of n, when partitions that are rotations of each other (when regarded as 3-D objects) are counted only once.
%C A048139 Plane partitions seen as 3-dimensional-objects can have a threefold symmetry axis.
%e A048139 n=3 gives 2 forms: {{3}}={{1,1,1}}={{1},{1},{1}} and {{2,1}}={{1,1},{1}}={{2},{1}}.
%Y A048139 Equals Cs + 2 C1 + 2 C3 + C3v, Cs=A000784, C1=A000785, C3=A048142, C3v=A048141. Cf. A000219, A005987.
%Y A048139 Or, equals (2*A048141+A000219+4*A048142)/3.
%K A048139 nonn
%O A048139 1,3
%A A048139 _Wouter Meeussen_
%E A048139 Edited by _N. J. A. Sloane_, Oct 26 2008 at the suggestion of R. J. Mathar.