A250649 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

28, 280, 1424, 4853, 12473, 28379, 56088, 103712, 175998, 289559, 445513, 675267, 974698, 1392138, 1913166, 2619191, 3465655, 4583225, 5895042, 7580998, 9518912, 11977473, 14741143, 18198445, 22042896, 26774380, 31970892, 38321697, 45196741

Offset

1,1

Comments

Row 5 of A250646

Links

R. H. Hardin, Table of n, a(n) for n = 1..153

Formula

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)

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

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

Example

Some solutions for n=6
..2....0....2....6....0....5....5....3....1....2....4....2....1....1....6....3
..6....0....2....0....0....4....4....1....2....3....5....1....2....0....3....0
..1....5....5....1....5....2....1....5....4....2....4....3....3....0....4....2
..3....6....4....1....1....6....3....6....6....4....3....2....0....1....2....4
..1....0....1....3....2....3....0....0....6....5....1....1....0....4....0....3
..6....5....2....5....2....1....5....4....0....3....0....4....4....0....4....2

Crossrefs

Sequence in context: A125391 A126549 A300297 * A107418 A183484 A241621

Adjacent sequences: A250646 A250647 A250648 * A250650 A250651 A250652

Keyword

nonn

Author

R. H. Hardin, Nov 26 2014

Status

approved