A203186 - OEIS

A203186

Number of n X 3 0..4 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor.

25, 3209, 263725, 19617781, 1508941377, 117061422325, 9045835238617, 698574745175731, 53971916518600687, 4170021237063241785, 322172335579673190661, 24890749591184617620689, 1923046620328708053554417

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 3 of A203191.

LINKS

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

FORMULA

Empirical: a(n) = 95*a(n-1) -2335*a(n-2) +88226*a(n-3) -1401023*a(n-4) +27475918*a(n-5) -129518265*a(n-6) +3400204242*a(n-7) -8711692058*a(n-8) +135640160693*a(n-9) -1855897876716*a(n-10) -5857278804400*a(n-11) -207877345476359*a(n-12) -658851172326065*a(n-13) -2982964537519341*a(n-14) -1083968424653882*a(n-15) +175197610451185704*a(n-16) +687892185774751661*a(n-17) +749598878295789128*a(n-18) -1959929535011513006*a(n-19) -101370860705854696394*a(n-20) -340081565613577375756*a(n-21) +730110761278751037036*a(n-22) +3920118189702812561672*a(n-23) +12619795867291127254976*a(n-24) +27464586017442664267488*a(n-25) -245687729406837440328288*a(n-26) -909390951510003354547680*a(n-27) +1548025686942659823298048*a(n-28) +8058128637358990922686656*a(n-29) -2828697130837882118085760*a(n-30) -34619981240886667486806528*a(n-31) -13877583110751726094654208*a(n-32) +62093718052951543212177920*a(n-33) +85983078233799603752551424*a(n-34) +83941563134487710369197056*a(n-35) -150134157540885554603827200*a(n-36) -718538527715802110878629888*a(n-37) -125076595984856461470449664*a(n-38) +1768257902572823829865512960*a(n-39) +995241004870815671157964800*a(n-40) -2384512233033125505637416960*a(n-41) -1921544137783350730214277120*a(n-42) +1893287364220246513759027200*a(n-43) +1987808550619888781399162880*a(n-44) -836639937477404072843673600*a(n-45) -1213996168239086214394675200*a(n-46) +146320063422714906830438400*a(n-47) +433459533137700803995238400*a(n-48) +26235006449466816331776000*a(n-49) -82818213393016855461888000*a(n-50) -14649656375672234311680000*a(n-51) +6466292717028177346560000*a(n-52) +1643415634622545920000000*a(n-53).

EXAMPLE

Some solutions for n=4

..1..4..2....2..3..3....4..4..2....2..3..0....0..4..2....2..0..2....1..1..3

..0..4..0....2..1..4....0..1..1....1..3..0....0..4..1....3..1..3....3..0..3

..0..3..4....4..0..4....3..3..1....3..4..4....4..0..1....4..3..3....3..2..2

..0..0..4....4..1..3....4..4..2....4..4..4....4..4..0....4..0..3....2..1..2

CROSSREFS

Cf. A203191.

Sequence in context: A013737 A018861 A178188 * A322249 A373878 A185826

Adjacent sequences: A203183 A203184 A203185 * A203187 A203188 A203189

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 30 2011

STATUS

approved