[seqfan] Re: T(n, k)=Number of nondecreasing arrangements of n numbers in -k..k with sum zero

Ron Hardin rhhardin at att.net
Sun Jan 2 20:42:19 CET 2011


It's queued up for OEIS b-file capability, along with a thousand others 
lingering at
http://rhhardin.home.mindspring.com/working.txt


 rhhardin at mindspring.com
rhhardin at att.net (either)



----- Original Message ----
> From: Joerg Arndt <arndt at jjj.de>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Sun, January 2, 2011 1:46:21 PM
> Subject: [seqfan] Re: T(n, k)=Number of nondecreasing arrangements of n numbers 
>in -k..k with sum zero
> 
> Strongly suggest to enter as a new sequence!
> 
> * Ron Hardin <rhhardin at att.net> [Dec 14. 2010  14:17]:
> > This turns out to match a lot of existing sequences:
> > 
> > (new) T(n,k)=Number of nondecreasing arrangements of n numbers in -k..k  with 
>sum 
>
> > zero
> > 
> > Table starts (offset 1,1)
> >  
.1..1...1....1....1.....1.....1......1......1......1.......1.......1.......1
> > .2..3...4....5....6.....7.....8......9.....10.....11......12......13......14
> > ;  
>.2..5...8...13...18....25....32.....41.....50.....61......72......85......98
> > .3..8..18...33...55....86...126....177....241....318.....410.....519.....645
> > ;  
>.3.12..32...73..141...252...414....649....967...1394....1944....2649....3523
> > .4.18..58..151..338...676..1242...2137...3486...5444....8196...11963...17002
> > ;  
>.4.24..94..289..734..1656..3370...6375..11322..19138...30982...48417...73316
> > .5.33.151..526.1514..3788..8512..17575..33885..61731..107233..178870..288100
> > ;  
>.5.43.227..910.2934..8150.20094..45207..94257.184717..343363..610358.1043534
> > .6.55.338.1514.5448.16660.44916.109583.246448.517971.1028172.1943488.3521260
> > ; 
> > Column 2 is A001973
> > Column 3 is A001977
> > Column 4 is  A001981
> > Diagonal is A109655
> > Row 3 is A000982(n+1)
> > 
> > 
> >  rhhardin at mindspring.com
> > rhhardin at att.net (either)
> > 
> > 
> > 
> > _______________________________________________
> > 
> > Seqfan Mailing list - http://list.seqfan.eu/
> 
> _______________________________________________
> 
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> 



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