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 A212838 Number of 0..n arrays of length 5 with 0 never adjacent to n. 1
 2, 99, 634, 2309, 6306, 14407, 29114, 53769, 92674, 151211, 235962, 354829, 517154, 733839, 1017466, 1382417, 1844994, 2423539, 3138554, 4012821, 5071522, 6342359, 7855674, 9644569, 11745026, 14196027, 17039674, 20321309, 24089634, 28396831 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 4 of A212835. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = n^5 + 5*n^4 + 2*n^3 - 8*n^2 + n + 1. Conjectures from Colin Barker, Jul 21 2018: (Start) G.f.: x*(2 + 87*x + 70*x^2 - 50*x^3 + 12*x^4 - x^5) / (1 - x)^6. a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>6. (End) EXAMPLE Some solutions for n=5: ..5....5....3....3....1....2....5....5....4....0....5....5....0....1....2....2 ..4....2....3....2....4....2....1....5....1....2....3....3....3....2....2....4 ..5....3....5....0....3....1....3....4....5....5....1....1....1....4....1....0 ..2....1....4....2....0....2....4....3....3....3....5....3....5....1....5....4 ..4....5....1....4....1....0....4....4....2....4....5....1....3....0....2....0 CROSSREFS Cf. A212835. Sequence in context: A223038 A324266 A258399 * A024241 A278684 A024242 Adjacent sequences:  A212835 A212836 A212837 * A212839 A212840 A212841 KEYWORD nonn AUTHOR R. H. Hardin, May 28 2012 STATUS approved

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Last modified December 6 06:34 EST 2019. Contains 329784 sequences. (Running on oeis4.)