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 A214352 T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors 12
 2, 3, 6, 4, 17, 26, 5, 36, 169, 160, 6, 65, 660, 2853, 1386, 7, 106, 1951, 23554, 80573, 16814, 8, 161, 4822, 127813, 1602092, 3778867, 284724, 9, 232, 10507, 529006, 17790765, 205613460, 293207907, 6715224, 10, 321, 20840, 1807653, 135538054 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.....3.......4........5.........6.........7..........8...........9 ....6....17......36.......65.......106.......161........232.........321 ...26...169.....660.....1951......4822.....10507......20840.......38421 ..160..2853...23554...127813....529006...1807653....5349708....14150061 .1386.80573.1602092.17790765.135538054.790197579.3766437036.15329961031 LINKS R. H. Hardin, Table of n, a(n) for n = 1..99 FORMULA Empirical: rows n=1..5 are polynomials of degree n(n+1)/2 in k EXAMPLE Some solutions for n=3 k=3 ....0......0......1......1......2......2......2......2......2......3......3 ...0.1....3.0....1.1....0.2....2.1....1.2....3.1....0.2....2.0....3.3....3.2 ..2.0.3..3.1.0..0.3.0..0.3.2..3.0.2..1.2.0..3.0.2..3.0.2..2.3.0..1.3.1..3.2.3 CROSSREFS Column 1 is 2*A183278 Row 2 is A084990(n+1) Sequence in context: A231263 A231451 A126063 * A248090 A229774 A137524 Adjacent sequences:  A214349 A214350 A214351 * A214353 A214354 A214355 KEYWORD nonn,tabl AUTHOR R. H. Hardin Jul 13 2012 STATUS approved

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Last modified August 7 04:39 EDT 2020. Contains 336274 sequences. (Running on oeis4.)