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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A200272 T(n,k) is the number of 0..k arrays x(0..n+1) of n+2 elements with zero n-1st differences 11
1, 1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 5, 4, 3, 2, 1, 6, 7, 6, 5, 2, 1, 7, 10, 9, 8, 5, 2, 1, 8, 13, 14, 13, 8, 5, 2, 1, 9, 16, 25, 18, 13, 8, 7, 2, 1, 10, 21, 36, 37, 26, 21, 16, 3, 2, 1, 11, 26, 47, 64, 53, 34, 31, 4, 3, 2, 1, 12, 31, 64, 97, 112, 53, 52, 19, 10, 7, 2, 1, 13, 36, 87, 140, 197, 118, 83 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Each row is an Ehrhart quasi-polynomial. - Robert Israel, May 04 2021

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..291

EXAMPLE

Some solutions for n=7 k=6

..3....2....3....3....5....2....3....4....0....6....3....5....1....6....0....1

..3....2....3....3....1....2....3....0....4....2....3....1....5....2....4....5

..6....1....3....4....0....0....2....1....3....4....5....3....5....5....2....1

..6....1....3....4....1....0....2....2....2....5....5....4....4....6....1....0

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

..0....3....3....2....5....4....4....2....2....3....1....2....2....2....3....6

..0....3....3....2....6....4....4....3....1....4....1....3....1....3....2....5

..3....2....3....3....5....2....3....4....0....6....3....5....1....6....0....1

..3....2....3....3....1....2....3....0....4....2....3....1....5....2....4....5

Table starts

.1.1..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....15.....16....17

.2.3..4..7..10..13..16...21...26...31....36....43....50....57.....64....73

.2.3..6..9..14..25..36...47...64...87...110...143...176...209....258...311

.2.5..8.13..18..37..64...97..140..207...286...399...528...687....878..1127

.2.5..8.13..26..53.112..197..302..465...688..1013..1406..1995...2790..3759

.2.5..8.21..34..53.118..267..516..901..1454..2249..3264..5135...7616.11061

.2.7.16.31..52..83.228..515.1014.1903..3236..5351..8174.13719..21660.33377

.2.3..4.19..34.119.236..589.1236.2707..5062.10081.17712.30497..51072.83605

.2.3.10.37.104.261.574.1181.2560.5137.10922.23531.44970.81485.148250

CROSSREFS

Row 3 is A008811(n+1).

Sequence in context: A167289 A200329 A023122 * A167286 A249821 A249822

Adjacent sequences: A200269 A200270 A200271 * A200273 A200274 A200275

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 15 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 February 4 04:43 EST 2023. Contains 360046 sequences. (Running on oeis4.)