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A200272 T(n,k)=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

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

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

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

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Last modified December 12 12:50 EST 2019. Contains 329958 sequences. (Running on oeis4.)