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Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than 3.
+0
1
0, 3, 6, 35, 138, 689, 3272, 16522, 83792, 434749, 2278888, 12093271, 64741330, 349470487, 1899418046, 10387322922, 57111322368, 315523027610, 1750681516380, 9751416039535, 54507046599094, 305650440453943, 1718956630038438
Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than 4.
+0
2
0, 4, 12, 82, 454, 2912, 18652, 124299, 841400, 5800725, 40506816, 286137616, 2040430976, 14670243774, 106225269954, 773958961125, 5670067999156, 41742291894425, 308645064367896, 2291123920091484, 17067970534656790
Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than 5.
+0
1
0, 5, 20, 160, 1130, 8927, 71630, 594405, 5025740, 43243674, 377127756, 3327001441, 29634744950, 266164547110, 2407763862342, 21918167505714, 200631620380132, 1845576127894008, 17052050519557200, 158176470846492722
Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than 6
+0
1
0, 6, 30, 277, 2370, 22297, 214724, 2133784, 21632020, 223143400, 2333651994, 24689732388, 263770658256, 2841616524516, 30835061022020, 336721385300276, 3697585562072924, 40805356360923728, 452314009660461816
Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than 7
+0
1
0, 7, 42, 441, 4424, 48335, 542850, 6285127, 74286702, 893407361, 10894937088, 134418087923, 1674757658798, 21042485711561, 266318361927208, 3392084001234202, 43447635519011920, 559277626577030221
Number of length 5 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than n.
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1
2, 11, 35, 82, 160, 277, 441, 660, 942, 1295, 1727, 2246, 2860, 3577, 4405, 5352, 6426, 7635, 8987, 10490, 12152, 13981, 15985, 18172, 20550, 23127, 25911, 28910, 32132, 35585, 39277, 43216, 47410, 51867, 56595, 61602, 66896, 72485, 78377, 84580, 91102
Number of length 6 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than n.
+0
1
0, 24, 138, 454, 1130, 2370, 4424, 7588, 12204, 18660, 27390, 38874, 53638, 72254, 95340, 123560, 157624, 198288, 246354, 302670, 368130, 443674, 530288, 629004, 740900, 867100, 1008774, 1167138, 1343454, 1539030, 1755220, 1993424, 2255088
Number of length 7 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than n.
+0
1
5, 93, 689, 2912, 8927, 22297, 48335, 94456, 170529, 289229, 466389, 721352, 1077323, 1561721, 2206531, 3048656, 4130269, 5499165, 7209113, 9320208, 11899223, 15019961, 18763607, 23219080, 28483385, 34661965, 41869053, 50228024
Number of length 8 nonnegative integer arrays starting and ending with 0 with adjacent elements unequal but differing by no more than n.
+0
1
0, 272, 3272, 18652, 71630, 214724, 542850, 1211784, 2459988, 4633800, 8215988, 13857668, 22413586, 34980764, 52940510, 78003792, 112259976, 158228928, 218916480, 297873260, 399256886, 527897524, 689366810, 890050136, 1137222300
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