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 A195235 Number of lower triangles of a 5 X 5 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by one or less. 1
 32768, 127785, 237818, 348849, 459880, 570911, 681942, 792973, 904004, 1015035, 1126066, 1237097, 1348128, 1459159, 1570190, 1681221, 1792252, 1903283, 2014314, 2125345, 2236376, 2347407, 2458438, 2569469, 2680500, 2791531, 2902562, 3013593 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 5 of A195232. LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical: a(n) = 111031*n - 95275 for n>2. Conjectures from Colin Barker, May 06 2018: (Start) G.f.: x*(32768 + 62249*x + 15016*x^2 + 998*x^3) / (1 - x)^2. a(n) = 2*a(n-1) - a(n-2) for n>4. (End) EXAMPLE Some solutions for n=4 with 0 and 4: ..0..........4..........4..........0..........4..........0..........0 ..1.1........3.3........3.3........1.1........4.3........1.1........1.1 ..2.2.2......2.2.2......2.2.2......1.2.2......3.3.2......2.2.2......2.2.2 ..3.2.3.3....1.2.2.1....1.2.1.1....1.2.3.3....2.3.2.1....3.3.3.3....3.3.2.3 ..2.3.2.3.4..1.2.2.1.0..2.1.1.0.1..2.2.3.3.4..3.2.2.1.0..2.3.4.4.4..4.3.3.3.4 CROSSREFS Cf. A195232. Sequence in context: A232393 A217589 A069276 * A223335 A194934 A016997 Adjacent sequences: A195232 A195233 A195234 * A195236 A195237 A195238 KEYWORD nonn AUTHOR R. H. Hardin, Sep 13 2011 STATUS approved

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Last modified June 8 07:54 EDT 2023. Contains 363157 sequences. (Running on oeis4.)