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 A200083 Number of 0..n arrays x(0..4) of 5 elements with zero 3rd differences. 1
 2, 3, 8, 17, 26, 43, 64, 89, 122, 163, 208, 269, 334, 407, 496, 597, 702, 831, 968, 1117, 1286, 1471, 1664, 1889, 2122, 2371, 2648, 2945, 3250, 3595, 3952, 4329, 4738, 5171, 5616, 6109, 6614, 7143, 7712, 8309, 8918, 9583, 10264, 10973, 11726, 12511, 13312 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 4 of A200082. LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical: a(n) = a(n-1) +a(n-3) -a(n-5) +a(n-6) -2*a(n-7) +a(n-8) -a(n-9) +a(n-11) +a(n-13) -a(n-14). Empirical g.f.: x*(2 + x + 5*x^2 + 7*x^3 + 6*x^4 + 11*x^5 + 5*x^6 + 8*x^7 + 3*x^8 + x^9 + 2*x^10 + x^11 + x^12 - x^13) / ((1 - x)^4*(1 + x)^2*(1 - x + x^2)*(1 + x^2)*(1 + x + x^2)^2). - Colin Barker, May 17 2018 EXAMPLE Some solutions for n=6: ..2....1....2....3....0....4....0....5....0....6....6....3....6....0....4....3 ..3....3....4....4....4....4....0....6....3....2....3....3....3....1....3....5 ..3....4....5....4....6....4....0....6....4....0....2....3....1....2....2....6 ..2....4....5....3....6....4....0....5....3....0....3....3....0....3....1....6 ..0....3....4....1....4....4....0....3....0....2....6....3....0....4....0....5 CROSSREFS Cf. A200082. Sequence in context: A005648 A113947 A102008 * A210701 A158921 A064954 Adjacent sequences: A200080 A200081 A200082 * A200084 A200085 A200086 KEYWORD nonn AUTHOR R. H. Hardin, Nov 13 2011 STATUS approved

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Last modified September 22 18:47 EDT 2023. Contains 365531 sequences. (Running on oeis4.)