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 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

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Last modified February 4 04:43 EST 2023. Contains 360046 sequences. (Running on oeis4.)