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 A249531 Number of length 1+5 0..n arrays with no six consecutive terms having five times any element equal to the sum of the remaining five 1
 62, 606, 3492, 13580, 40950, 104562, 235196, 480912, 911490, 1625210, 2754672, 4474896, 7011302, 10648350, 15739200, 22716332, 32101806, 44520162, 60709580, 81535980, 108006522, 141284426, 182704032, 233787120, 296259530, 372068862 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 1 of A249530 LINKS R. H. Hardin, Table of n, a(n) for n = 1..101 FORMULA Empirical: a(n) = 4*a(n-1) -6*a(n-2) +5*a(n-3) -4*a(n-4) +3*a(n-5) -2*a(n-6) +2*a(n-7) -2*a(n-9) +2*a(n-10) -3*a(n-11) +4*a(n-12) -5*a(n-13) +6*a(n-14) -4*a(n-15) +a(n-16) Also a degree 6 polynomial plus a degree 0 quasipolynomial with period 60, the first 12 being: Empirical for n mod 60 = 0: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n Empirical for n mod 60 = 1: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n + (547/60) Empirical for n mod 60 = 2: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n - (124/15) Empirical for n mod 60 = 3: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n - (183/20) Empirical for n mod 60 = 4: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n + (472/15) Empirical for n mod 60 = 5: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n - (425/12) Empirical for n mod 60 = 6: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n + (156/5) Empirical for n mod 60 = 7: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n - (821/60) Empirical for n mod 60 = 8: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n + (344/15) Empirical for n mod 60 = 9: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n - (879/20) Empirical for n mod 60 = 10: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n + (80/3) Empirical for n mod 60 = 11: a(n) = n^6 + (24/5)*n^5 + (51/4)*n^4 + (49/3)*n^3 + 13*n^2 + 5*n + (1547/60) EXAMPLE Some solutions for n=6 ..5....0....2....3....3....4....5....1....4....5....0....0....2....3....4....0 ..2....4....5....1....1....6....1....5....4....4....2....4....5....5....1....2 ..0....5....1....0....2....3....1....3....6....2....1....4....4....3....6....3 ..1....3....0....4....5....2....1....2....2....6....1....4....1....0....2....1 ..0....3....2....0....2....4....3....5....1....6....6....0....3....0....4....5 ..0....1....3....6....1....3....6....1....6....2....6....0....4....3....2....6 CROSSREFS Sequence in context: A209906 A069473 A249530 * A069966 A290285 A286212 Adjacent sequences:  A249528 A249529 A249530 * A249532 A249533 A249534 KEYWORD nonn AUTHOR R. H. Hardin, Oct 31 2014 STATUS approved

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Last modified May 20 08:00 EDT 2022. Contains 353852 sequences. (Running on oeis4.)