login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A183927 T(n,k)=Number of nondecreasing arrangements of n numbers in -k..k with sum zero and sum of squares not greater than n*k*(k+1)/3 8
1, 1, 1, 1, 2, 2, 1, 3, 4, 2, 1, 3, 5, 6, 2, 1, 4, 8, 12, 9, 3, 1, 4, 12, 23, 22, 13, 3, 1, 5, 17, 37, 48, 39, 17, 3, 1, 5, 22, 58, 93, 102, 63, 24, 4, 1, 6, 25, 83, 163, 220, 186, 104, 31, 4, 1, 7, 31, 112, 262, 434, 476, 332, 155, 38, 4, 1, 7, 38, 154, 414, 794, 1061, 979, 596, 226, 49 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

k*(k+1)/3 is the average squared value over -k..k

Table starts

.1..1...1...1....1.....1.....1.....1......1......1......1.......1.......1

.1..2...3...3....4.....4.....5.....5......6......7......7.......8.......8

.2..4...5...8...12....17....22....25.....31.....38.....45......53......62

.2..6..12..23...37....58....83...112....154....203....259.....329.....403

.2..9..22..48...93...163...262...414....618....877...1227....1661....2199

.3.13..39.102..220...434...794..1346...2190...3398...5106....7411...10494

.3.17..63.186..476..1061..2117..3998...7036..11808..19093...29687...44730

.3.24.104.332..979..2414..5278.10966..20984..37693..65732..109170..174209

.4.31.155.596.1888..5166.12584.28096..58118.113204.209399..370563..631264

.4.38.226.976.3493.10526.27893.67867.151415.315288.624895.1175933.2117218

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..642

EXAMPLE

Some solutions for n=5 k=4

.-2...-3...-3...-3...-2...-2...-1...-4...-4...-2...-2...-2...-2...-2...-2...-1

.-2...-2...-2....0...-2...-2...-1....0...-1...-1...-2...-1...-1...-2...-2...-1

..0....1....0....1...-1...-2...-1....0....1...-1....0...-1...-1....1...-2....0

..2....1....1....1....2....3...-1....1....2....2....0....1....0....1....2....0

..2....3....4....1....3....3....4....3....2....2....4....3....4....2....4....2

CROSSREFS

Sequence in context: A212306 A339708 A080242 * A035317 A103923 A349432

Adjacent sequences: A183924 A183925 A183926 * A183928 A183929 A183930

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 08 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 27 13:54 EST 2022. Contains 358405 sequences. (Running on oeis4.)