[seqfan] Re: Counting permutations
Ron Hardin
rhhardin at att.net
Sat Nov 5 00:43:24 CET 2011
I have a computation cooking since Oct 31 but not finished that starts
$ cat tabstarts
Table starts
..1..1..1..1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1
..2..2..2..2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2
..3..2..2..2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2.2
..5..4..3..3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3..
..7..4..4..3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3....
.11..7..5..5.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4......
.15..8..6..5.5.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4........
.22.12..9..7.6.6.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5..........
.30.14.10..8.7.6.6.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5.5............
.42.21.13.11.9.8.7.7.6.6.6.6.6.6.6.6.6.6.6.6.6.6.6.6.6.6.6.6.6.6..............
$ cat temp1000.txt
T(n,k)=Number of partitions of n+2k-2 with values >= k
rhhardin at mindspring.com
rhhardin at att.net (either)
----- Original Message ----
> From: Charles Greathouse <charles.greathouse at case.edu>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Fri, November 4, 2011 12:53:47 PM
> Subject: [seqfan] Counting permutations
>
> I can't find a sequence that shows the number f(m, n) of ways to
> choose numbers from 1, 2, ..., m with a sum of at most n. Is this
> already in the OEIS? I tried searching for it as a triangle possibly
> missing some columns, but couldn't find it. I suppose it could also
> be thought of as a rectangular array to be read by antidiagonals.
>
> (Generally it's hard to search for two-dimensional entities in the
> OEIS; I wonder if there's a good general solution.)
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>
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