A250649 - OEIS

%I #4 Nov 26 2014 12:23:23

%S 28,280,1424,4853,12473,28379,56088,103712,175998,289559,445513,

%T 675267,974698,1392138,1913166,2619191,3465655,4583225,5895042,

%U 7580998,9518912,11977473,14741143,18198445,22042896,26774380,31970892,38321697,45196741

%N Number of length 5+1 0..n arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero

%C Row 5 of A250646

%H R. H. Hardin, <a href="/A250649/b250649.txt">Table of n, a(n) for n = 1..153</a>

%F Empirical: a(n) = -3*a(n-1) -4*a(n-2) +11*a(n-4) +21*a(n-5) +18*a(n-6) -6*a(n-7) -39*a(n-8) -53*a(n-9) -30*a(n-10) +22*a(n-11) +64*a(n-12) +64*a(n-13) +22*a(n-14) -30*a(n-15) -53*a(n-16) -39*a(n-17) -6*a(n-18) +18*a(n-19) +21*a(n-20) +11*a(n-21) -4*a(n-23) -3*a(n-24) -a(n-25)

%F Empirical for n mod 12 = 0: a(n) = (389983/207360)*n^5 + (130579/13824)*n^4 + (3643/576)*n^3 + (791/288)*n^2 + (467/60)*n + 1

%F Empirical for n mod 12 = 1: a(n) = (389983/207360)*n^5 + (63179/6912)*n^4 + (45683/6912)*n^3 + (11065/2592)*n^2 + (61501/7680)*n - (13183/6912)

%F Empirical for n mod 12 = 2: a(n) = (389983/207360)*n^5 + (130579/13824)*n^4 + (3643/576)*n^3 + (9199/5184)*n^2 + (23569/4320)*n + (67/864)

%F Empirical for n mod 12 = 3: a(n) = (389983/207360)*n^5 + (63179/6912)*n^4 + (14545/2304)*n^3 + (2155/576)*n^2 + (62941/7680)*n - (537/256)

%F Empirical for n mod 12 = 4: a(n) = (389983/207360)*n^5 + (130579/13824)*n^4 + (11441/1728)*n^3 + (8527/2592)*n^2 + (467/60)*n + (41/27)

%F Empirical for n mod 12 = 5: a(n) = (389983/207360)*n^5 + (63179/6912)*n^4 + (14545/2304)*n^3 + (7097/2592)*n^2 + (394789/69120)*n - (21631/6912)

%F Empirical for n mod 12 = 6: a(n) = (389983/207360)*n^5 + (130579/13824)*n^4 + (3643/576)*n^3 + (1591/576)*n^2 + (3721/480)*n + (25/32)

%F Empirical for n mod 12 = 7: a(n) = (389983/207360)*n^5 + (63179/6912)*n^4 + (45683/6912)*n^3 + (22211/5184)*n^2 + (62941/7680)*n - (10915/6912)

%F Empirical for n mod 12 = 8: a(n) = (389983/207360)*n^5 + (130579/13824)*n^4 + (3643/576)*n^3 + (4559/2592)*n^2 + (2963/540)*n + (8/27)

%F Empirical for n mod 12 = 9: a(n) = (389983/207360)*n^5 + (63179/6912)*n^4 + (14545/2304)*n^3 + (1073/288)*n^2 + (61501/7680)*n - (621/256)

%F Empirical for n mod 12 = 10: a(n) = (389983/207360)*n^5 + (130579/13824)*n^4 + (11441/1728)*n^3 + (17135/5184)*n^2 + (3721/480)*n + (1123/864)

%F Empirical for n mod 12 = 11: a(n) = (389983/207360)*n^5 + (63179/6912)*n^4 + (14545/2304)*n^3 + (14275/5184)*n^2 + (407749/69120)*n - (19363/6912)

%e Some solutions for n=6

%e ..2....0....2....6....0....5....5....3....1....2....4....2....1....1....6....3

%e ..6....0....2....0....0....4....4....1....2....3....5....1....2....0....3....0

%e ..1....5....5....1....5....2....1....5....4....2....4....3....3....0....4....2

%e ..3....6....4....1....1....6....3....6....6....4....3....2....0....1....2....4

%e ..1....0....1....3....2....3....0....0....6....5....1....1....0....4....0....3

%e ..6....5....2....5....2....1....5....4....0....3....0....4....4....0....4....2

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014