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 A248450 Number of length 2+5 0..n arrays with no three disjoint pairs in any consecutive six terms having the same sum 1
 62, 1272, 11436, 59480, 226410, 694632, 1824272, 4257336, 9061830, 17909120, 33303852, 58859112, 99630266, 162505920, 256670520, 394127072, 590308422, 864758736, 1241905340, 1751918880, 2431676802, 3325811912, 4487885496 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 2 of A248448 LINKS R. H. Hardin, Table of n, a(n) for n = 1..54 FORMULA Empirical: a(n) = 4*a(n-1) -5*a(n-2) +2*a(n-3) -2*a(n-4) +2*a(n-5) +5*a(n-6) -8*a(n-7) +6*a(n-8) -8*a(n-9) +5*a(n-10) +2*a(n-11) -2*a(n-12) +2*a(n-13) -5*a(n-14) +4*a(n-15) -a(n-16) Empirical for n mod 12 = 0: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + 74*n Empirical for n mod 12 = 1: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + 89*n + (235/18) Empirical for n mod 12 = 2: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + (142/3)*n + (1000/9) Empirical for n mod 12 = 3: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + 89*n + (195/2) Empirical for n mod 12 = 4: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + 74*n + (320/9) Empirical for n mod 12 = 5: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + (187/3)*n + (1595/18) Empirical for n mod 12 = 6: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + 74*n Empirical for n mod 12 = 7: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + 89*n + (2395/18) Empirical for n mod 12 = 8: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + (142/3)*n + (1000/9) Empirical for n mod 12 = 9: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + 89*n - (45/2) Empirical for n mod 12 = 10: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + 74*n + (320/9) Empirical for n mod 12 = 11: a(n) = n^7 + 7*n^6 + 6*n^5 + (55/2)*n^4 + (415/9)*n^3 - (383/3)*n^2 + (187/3)*n + (3755/18) EXAMPLE Some solutions for n=4 ..3....0....3....1....3....0....1....2....2....1....4....3....3....1....3....2 ..0....1....0....4....4....1....0....1....1....2....2....1....0....2....4....4 ..2....4....1....4....0....1....2....1....0....1....2....0....1....0....0....0 ..2....0....3....3....3....3....3....3....3....0....3....3....0....3....4....3 ..3....2....4....3....4....3....1....0....0....3....0....0....2....1....1....4 ..1....1....2....0....3....3....4....0....1....3....3....0....0....0....3....0 ..0....4....3....3....4....4....3....3....0....3....1....0....0....1....3....2 CROSSREFS Sequence in context: A250564 A231027 A103428 * A115504 A296359 A037962 Adjacent sequences: A248447 A248448 A248449 * A248451 A248452 A248453 KEYWORD nonn AUTHOR R. H. Hardin, Oct 06 2014 STATUS approved

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Last modified December 2 20:20 EST 2023. Contains 367526 sequences. (Running on oeis4.)