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 A251935 T(n,k)=Number of length n+2 0..k arrays with the sum of the maximum minus the median of adjacent triples multiplied by some arrangement of +-1 equal to zero 14
 5, 12, 10, 22, 43, 18, 35, 120, 115, 34, 51, 265, 431, 339, 68, 70, 506, 1191, 1760, 1047, 136, 92, 875, 2695, 6293, 7452, 3185, 268, 117, 1408, 5340, 17598, 34186, 30882, 9614, 528, 145, 2145, 9615, 41677, 117980, 180069, 126098, 28997, 1048, 176, 3130, 16098 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....5.....12......22........35.........51.........70..........92..........117 ...10.....43.....120.......265........506........875........1408.........2145 ...18....115.....431......1191.......2695.......5340........9615........16098 ...34....339....1760......6293......17598......41677.......87328.......166677 ...68...1047....7452.....34186.....117980.....334901......822796......1809610 ..136...3185...30882....180069.....759084....2556917.....7303048.....18382689 ..268...9614..126098....928891....4748562...18846528....62129347....177706943 ..528..28997..511108...4735071...29209810..135951349...514829238...1665351547 .1048..87432.2063052..23964561..177862134..968127101..4199965881..15321907453 .2088.263315.8301984.120719043.1076319648.6841930691.33956536010.139504731587 LINKS R. H. Hardin, Table of n, a(n) for n = 1..221 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-1) -6*a(n-2) +6*a(n-3) -4*a(n-4) k=2: [order 14] for n>17 Empirical for row n: n=1: a(n) = (3/2)*n^2 + (5/2)*n + 1 n=2: a(n) = (1/6)*n^4 + (7/3)*n^3 + (23/6)*n^2 + (8/3)*n + 1 n=3: [linear recurrence of order 11; also a polynomial of degree 5 plus a quasipolynomial of degree 1 with period 6] n=4: [linear recurrence order 18; also a polynomial of degree 5 plus a quasipolynomial of degree 2 with period 12] EXAMPLE Some solutions for n=5 k=4 ..2....4....3....0....2....1....4....2....0....2....0....2....2....4....2....3 ..0....1....4....4....4....1....0....3....4....1....3....4....0....3....1....2 ..3....1....4....1....3....4....0....1....1....4....4....2....4....3....1....4 ..2....4....2....0....4....1....2....2....2....0....3....3....4....4....2....3 ..3....3....4....0....1....2....1....0....2....1....3....2....3....3....4....4 ..4....3....2....2....4....0....1....0....1....0....2....1....2....3....3....4 ..2....1....1....3....2....3....3....1....0....2....0....1....4....2....1....4 CROSSREFS Row 1 is A000326(n+1) Sequence in context: A066326 A015242 A009415 * A195031 A265028 A259911 Adjacent sequences: A251932 A251933 A251934 * A251936 A251937 A251938 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 11 2014 STATUS approved

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Last modified December 8 03:48 EST 2022. Contains 358672 sequences. (Running on oeis4.)