A250137 Number of length n+2 0..5 arrays with the medians of every three consecutive terms nondecreasing

216, 986, 4368, 19446, 79200, 311498, 1219944, 4617079, 17036428, 62297886, 224152970, 793463094, 2782588100, 9662944274, 33203799944, 113195928313, 383180556700, 1287749650878, 4300782679270, 14285051453226, 47196108008844

Offset

1,1

Comments

Column 5 of A250140

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 6*a(n-1) -15*a(n-2) +90*a(n-3) -345*a(n-4) +626*a(n-5) -2672*a(n-6) +7542*a(n-7) -9364*a(n-8) +39880*a(n-9) -80843*a(n-10) +55688*a(n-11) -359451*a(n-12) +414422*a(n-13) -27827*a(n-14) +2167310*a(n-15) -323498*a(n-16) -838688*a(n-17) -8847573*a(n-18) -7284516*a(n-19) +188080*a(n-20) +21990816*a(n-21) +37266852*a(n-22) +19854080*a(n-23) -25109056*a(n-24) -77719328*a(n-25) -71695312*a(n-26) -8159616*a(n-27) +70525056*a(n-28) +97325568*a(n-29) +48155904*a(n-30) -15482880*a(n-31) -46172160*a(n-32) -33177600*a(n-33) -8294400*a(n-34)

Example

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

Crossrefs

Sequence in context: A223507 A135590 A187859 * A109399 A111029 A124581

Adjacent sequences: A250134 A250135 A250136 * A250138 A250139 A250140

Keyword

nonn

Author

R. H. Hardin, Nov 13 2014

Status

approved