[seqfan] Re: A class of partitions.

Wouter Meeussen wouter.meeussen at telenet.be
Sun Apr 28 12:39:33 CEST 2013


up to n=20:
{1,3,8,18,37,71,131,230,393,653,1060,1686,2637,4057,6158,9228,13671,20040,29098,41869}
I'll have to think a bit to get a Generating function for more terms

Wouter.

-----Original Message----- 
From: L. Edson Jeffery
Sent: Sunday, April 28, 2013 9:12 AM
To: seqfan at list.seqfan.eu
Subject: [seqfan] A class of partitions.

Related to certain rhombus substitution tilings (the Penrose tilings in
particular):

For n = 1,2,..., what is the number of partitions of 2*n+1 with at least
three parts and no part greater than n? I counted these partitions by hand
for the first few n, so I know that the sequence starts {1, 3, 8, 18, 37,
70, ...}, unless I made a mistake.

I could not find this sequence in OEIS, possibly because it might be a
bisection of another sequence already there (and which I also cannot find).
Would someone please calculate enough terms and consider adding the
sequence to the database and let me know the A-number so I can find it?

Ed Jeffery

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