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

[Joerg Arndt]

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/