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 A247928 Number of length 1+4 0..n arrays with some disjoint pairs in every consecutive five terms having the same sum. 1
 32, 203, 824, 2365, 5496, 11167, 20648, 35249, 56960, 87211, 128592, 183253, 254144, 343535, 455336, 592177, 758328, 956899, 1192760, 1469381, 1792352, 2165263, 2594304, 3083785, 3640256, 4268147, 4974968, 5765509, 6647640, 7626631, 8710952 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 2*a(n-1) - a(n-3) - 2*a(n-5) + 2*a(n-6) + a(n-8) - 2*a(n-10) + a(n-11). Empirical for n mod 12 = 0: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n + 1 Empirical for n mod 12 = 1: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 19 Empirical for n mod 12 = 2: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n - 39 Empirical for n mod 12 = 3: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 79 Empirical for n mod 12 = 4: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n + 1 Empirical for n mod 12 = 5: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 59 Empirical for n mod 12 = 6: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n + 1 Empirical for n mod 12 = 7: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 79 Empirical for n mod 12 = 8: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n - 39 Empirical for n mod 12 = 9: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 19 Empirical for n mod 12 = 10: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 29*n + 1 Empirical for n mod 12 = 11: a(n) = 10*n^4 - 20*n^3 + 75*n^2 - 14*n - 119. Empirical g.f.: x*(32 + 139*x + 418*x^2 + 749*x^3 + 969*x^4 + 1063*x^5 + 1021*x^6 + 691*x^7+ 679*x^8 - 2*x^9 + x^10) / ((1 - x)^5*(1 + x)^2*(1 + x^2)*(1 + x + x^2)). - Colin Barker, Nov 07 2018 EXAMPLE Some solutions for n=6: ..0....3....0....6....4....2....1....4....2....6....4....4....0....2....6....6 ..1....5....3....3....2....1....5....3....6....4....1....4....3....1....2....1 ..4....5....4....5....1....6....2....1....5....4....3....5....1....3....6....5 ..2....4....6....4....3....3....3....0....4....6....1....0....1....4....2....5 ..1....3....3....3....5....4....4....3....1....3....0....0....3....2....4....1 CROSSREFS Row 1 of A247927. Sequence in context: A350740 A232051 A247927 * A184020 A283336 A223023 Adjacent sequences: A247925 A247926 A247927 * A247929 A247930 A247931 KEYWORD nonn AUTHOR R. H. Hardin, Sep 26 2014 STATUS approved

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Last modified December 2 19:08 EST 2023. Contains 367525 sequences. (Running on oeis4.)