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A204036 Number of (n+1)X6 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards 1
676, 5130, 37642, 189580, 969528, 3811097, 15164049, 50226272, 167435933, 488825091, 1431119793, 3794040002, 10068045085, 24759248822, 60904889948, 141191889755, 327408688415, 724682233233, 1605043691566, 3427407495669 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A204039

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +36*a(n-2) -162*a(n-3) -604*a(n-4) +3154*a(n-5) +6186*a(n-6) -39306*a(n-7) -42019*a(n-8) +352234*a(n-9) +185034*a(n-10) -2417268*a(n-11) -373572*a(n-12) +13210560*a(n-13) -1570272*a(n-14) -59024568*a(n-15) +19656918*a(n-16) +219635712*a(n-17) -111911552*a(n-18) -689846188*a(n-19) +456557112*a(n-20) +1846825596*a(n-21) -1475810036*a(n-22) -4244002060*a(n-23) +3939977274*a(n-24) +8411721276*a(n-25) -8879451716*a(n-26) -14420754064*a(n-27) +17114577864*a(n-28) +21404362296*a(n-29) -28443491112*a(n-30) -27477002760*a(n-31) +40968113595*a(n-32) +30399541644*a(n-33) -51286804500*a(n-34) -28786717410*a(n-35) +55865954980*a(n-36) +23043376130*a(n-37) -52927725990*a(n-38) -15237886650*a(n-39) +43528988089*a(n-40) +7928932874*a(n-41) -30968624214*a(n-42) -2828143692*a(n-43) +18960199036*a(n-44) +237170744*a(n-45) -9916598664*a(n-46) +560142864*a(n-47) +4386822816*a(n-48) -514808256*a(n-49) -1619296704*a(n-50) +277582464*a(n-51) +489565056*a(n-52) -107579136*a(n-53) -118077184*a(n-54) +31074304*a(n-55) +21847296*a(n-56) -6606336*a(n-57) -2911744*a(n-58) +984064*a(n-59) +248832*a(n-60) -92160*a(n-61) -10240*a(n-62) +4096*a(n-63)

EXAMPLE

Some solutions for n=4

..1..0..1..0..0..1....1..0..1..1..1..1....0..1..0..1..0..0....1..1..1..1..1..0

..0..1..0..1..1..1....0..1..0..1..0..1....0..0..1..0..1..1....1..0..1..0..1..1

..0..1..1..1..1..1....0..1..1..1..1..1....1..0..1..0..1..0....1..1..1..1..1..1

..0..1..1..1..1..1....0..1..0..1..0..1....1..1..1..1..1..1....0..1..0..1..1..1

..1..1..1..1..1..1....1..1..1..1..1..1....1..0..1..1..1..1....1..1..1..1..1..1

CROSSREFS

Sequence in context: A255076 A253323 A281405 * A235410 A239608 A238252

Adjacent sequences:  A204033 A204034 A204035 * A204037 A204038 A204039

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 09 2012

STATUS

approved

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Last modified May 18 19:51 EDT 2022. Contains 353824 sequences. (Running on oeis4.)