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 A252841 Number of (n+2) X (1+2) 0..3 arrays with every consecutive three elements in every row and diagonal having one or two distinct values, and in every column and antidiagonal having two or three distinct values, and new values 0 upwards introduced in row major order. 1
 1305, 24951, 488880, 9644050, 190273279, 3754660940, 74090662687, 1462043624070, 28850751949532, 569316875475916, 11234428121727874, 221690909964158016, 4374665008199979702, 86326020023629120158 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 1 of A252844. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 18*a(n-1) +86*a(n-2) -994*a(n-3) -1470*a(n-4) +18891*a(n-5) -10972*a(n-6) -137155*a(n-7) +458386*a(n-8) +344754*a(n-9) -5676836*a(n-10) -290377*a(n-11) +43535198*a(n-12) +4287236*a(n-13) -159925545*a(n-14) -268779654*a(n-15) +804335141*a(n-16) +970973386*a(n-17) -2078336878*a(n-18) -3319639002*a(n-19) +754228523*a(n-20) +13419206103*a(n-21) +72399252*a(n-22) -38090979845*a(n-23) +43488031150*a(n-24) +72529489617*a(n-25) -163864590116*a(n-26) -128284546312*a(n-27) +234353759810*a(n-28) +322369699828*a(n-29) -261073472809*a(n-30) -560583960661*a(n-31) +480777800264*a(n-32) +331536383724*a(n-33) -540088407387*a(n-34) +148832751298*a(n-35) +153685452410*a(n-36) -161131796324*a(n-37) +104433106016*a(n-38) -40744783252*a(n-39) -55519917168*a(n-40) +63985060128*a(n-41) -6939859596*a(n-42) -14022945384*a(n-43) +5677863960*a(n-44) -1166047488*a(n-45) +18214560*a(n-46) +517274496*a(n-47) -238736160*a(n-48) -10642752*a(n-49) +22851072*a(n-50) -2846016*a(n-51) -139968*a(n-52) for n > 53. EXAMPLE Some solutions for n=2 ..0..0..1....0..1..1....0..0..1....0..1..0....0..0..1....0..1..1....0..1..1 ..1..0..1....0..2..2....1..0..0....1..0..0....1..2..1....1..0..1....1..2..2 ..1..1..2....1..1..2....1..2..2....2..3..3....1..1..2....0..1..0....3..3..0 ..2..1..1....2..1..1....2..3..2....3..2..3....0..0..2....2..2..3....1..3..1 CROSSREFS Cf. A252844. Sequence in context: A277772 A252844 A252845 * A255025 A126841 A106815 Adjacent sequences:  A252838 A252839 A252840 * A252842 A252843 A252844 KEYWORD nonn AUTHOR R. H. Hardin, Dec 22 2014 STATUS approved

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Last modified December 5 11:05 EST 2021. Contains 349557 sequences. (Running on oeis4.)