A250136 Number of length n+2 0..4 arrays with the medians of every three consecutive terms nondecreasing

125, 485, 1827, 6902, 24125, 81664, 274901, 899306, 2878124, 9128858, 28568459, 88203357, 270034170, 819921694, 2468386488, 7381269147, 21942189228, 64848568804, 190676777475, 558132331487, 1626778221234, 4723078209157

Offset

1,1

Comments

Column 4 of A250140

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -10*a(n-2) +50*a(n-3) -155*a(n-4) +211*a(n-5) -786*a(n-6) +1706*a(n-7) -1383*a(n-8) +6007*a(n-9) -8058*a(n-10) +2038*a(n-11) -26882*a(n-12) +10262*a(n-13) +7248*a(n-14) +73688*a(n-15) +44407*a(n-16) -5079*a(n-17) -105040*a(n-18) -155452*a(n-19) -62796*a(n-20) +55668*a(n-21) +163440*a(n-22) +121104*a(n-23) +15552*a(n-24) -53568*a(n-25) -62208*a(n-26) -20736*a(n-27)

Example

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

Crossrefs

Sequence in context: A316387 A250900 A293040 * A141480 A155986 A128993

Adjacent sequences: A250133 A250134 A250135 * A250137 A250138 A250139

Keyword

nonn

Author

R. H. Hardin, Nov 13 2014

Status

approved