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A236904 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median plus the minimum of every 2X2 subblock equal 1
256, 1056, 4448, 19888, 89888, 417488, 1956608, 9312576, 44619472, 215852576, 1049216928, 5132538928, 25195350544, 124226011696, 614121467712, 3045510186432, 15134214226512, 75382419526336, 376090749561824 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A236911

LINKS

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

FORMULA

Empirical: a(n) = 17*a(n-1) -19*a(n-2) -1219*a(n-3) +5945*a(n-4) +32529*a(n-5) -280951*a(n-6) -269511*a(n-7) +6755811*a(n-8) -5812177*a(n-9) -99039281*a(n-10) +203208511*a(n-11) +934230323*a(n-12) -3012311509*a(n-13) -5540751101*a(n-14) +28011237043*a(n-15) +16496390322*a(n-16) -179576775804*a(n-17) +28184896456*a(n-18) +821213209160*a(n-19) -569212593056*a(n-20) -2696245636352*a(n-21) +3123990880240*a(n-22) +6239426808528*a(n-23) -10449648214368*a(n-24) -9546555867136*a(n-25) +23780302493952*a(n-26) +7611182136960*a(n-27) -37653350578688*a(n-28) +2464568574976*a(n-29) +40926435429376*a(n-30) -14406131410944*a(n-31) -29177606928384*a(n-32) +17666861322240*a(n-33) +12348650086400*a(n-34) -11333622972416*a(n-35) -2350163591168*a(n-36) +4034882961408*a(n-37) -121760514048*a(n-38) -778041819136*a(n-39) +124775301120*a(n-40) +73936142336*a(n-41) -17637048320*a(n-42) -2604662784*a(n-43) +754974720*a(n-44)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

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

CROSSREFS

Sequence in context: A255663 A045034 A236911 * A206198 A237218 A237212

Adjacent sequences:  A236901 A236902 A236903 * A236905 A236906 A236907

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 01 2014

STATUS

approved

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Last modified January 28 04:30 EST 2022. Contains 350654 sequences. (Running on oeis4.)