A241936 T(n,k)=Number of length n+4 0..k arrays with no consecutive five elements summing to more than 2*k

16, 96, 26, 357, 218, 43, 1007, 1043, 509, 71, 2373, 3599, 3150, 1187, 116, 4928, 10031, 13339, 9500, 2727, 186, 9318, 24052, 44063, 49355, 28153, 6105, 300, 16389, 51570, 122162, 193179, 179145, 80983, 13783, 487, 27214, 101421, 297324, 619132, 829867

Offset

1,1

Comments

Table starts

..16....96....357....1007.....2373.....4928......9318.....16389......27214

..26...218...1043....3599....10031....24052.....51570....101421.....186208

..43...509...3150...13339....44063...122162....297324....654345....1329163

..71..1187...9500...49355...193179...619132...1710198...4211175....9462805

.116..2727..28153..179145...829867..3072022...9624440..26502761...65852820

.186..6105..80983..629639..3446359.14718452..52254450.160807307..441594824

.300.13783.235307.2237881.14484953.71410234.287426800.988849923.3001975962

Links

R. H. Hardin, Table of n, a(n) for n = 1..2353

Formula

Empirical for column k:

k=1: a(n)=a(n-1)+a(n-3)+2*a(n-5)-a(n-8)-a(n-10)

k=2: [order 45]

Empirical for row n:

n=1: [polynomial of degree 5]

n=2: [polynomial of degree 6]

n=3: [polynomial of degree 7]

n=4: [polynomial of degree 8]

n=5: [polynomial of degree 9]

n=6: [polynomial of degree 10]

n=7: [polynomial of degree 11]

Example

Some solutions for n=4 k=4
..4....2....0....2....1....1....3....0....1....3....1....1....1....3....4....0
..1....1....1....0....1....4....0....1....2....0....2....0....1....1....0....0
..3....1....1....4....2....1....0....1....1....4....2....0....0....0....0....2
..0....2....0....2....2....2....1....0....0....0....0....0....3....1....0....0
..0....2....1....0....2....0....1....1....2....1....2....0....0....1....0....0
..0....1....1....1....1....1....0....4....2....1....0....2....0....3....0....0
..4....0....2....0....0....1....1....0....0....1....3....3....3....0....0....4
..0....0....0....2....0....0....1....3....1....0....1....3....1....1....1....4

Crossrefs

Column 1 is A120118(n+4)

Sequence in context: A318021 A333511 A320406 * A321338 A128702 A322639

Adjacent sequences: A241933 A241934 A241935 * A241937 A241938 A241939

Keyword

nonn,tabl

Author

R. H. Hardin, May 02 2014

Status

approved