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A220914 Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nX3 array 1
4, 37, 379, 3299, 27365, 220299, 1754781, 13920341, 110240626, 872556370, 6904697176, 54631587925, 432233689525, 3419633002811, 27054071815175, 214033458336670, 1693278859189788, 13395969446794951, 105978853064672169 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A220916

LINKS

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

FORMULA

Empirical: a(n) = 11*a(n-1) -13*a(n-2) -88*a(n-3) -179*a(n-4) +963*a(n-5) +3374*a(n-6) -4092*a(n-7) -27752*a(n-8) -54928*a(n-9) +159273*a(n-10) +565084*a(n-11) +262024*a(n-12) -2548728*a(n-13) -9489404*a(n-14) -3862504*a(n-15) +48520232*a(n-16) +136801104*a(n-17) +34658552*a(n-18) -677179488*a(n-19) -1711015536*a(n-20) +28469504*a(n-21) +7647579792*a(n-22) +17156152832*a(n-23) +10757172640*a(n-24) -51483411712*a(n-25) -179983506432*a(n-26) -190932391040*a(n-27) +213395380864*a(n-28) +783959354112*a(n-29) +1174739137792*a(n-30) +749321041920*a(n-31) -2051932146688*a(n-32) -5471137934336*a(n-33) -4763822426112*a(n-34) -1136691800064*a(n-35) -1642622783488*a(n-36) -10474931142656*a(n-37) -3637079998464*a(n-38) +36568785813504*a(n-39) +99840437256192*a(n-40) +144085753987072*a(n-41) +174717893804032*a(n-42) +188630020718592*a(n-43) +93143850483712*a(n-44) -49825152630784*a(n-45) +17014351462400*a(n-46) +14859929911296*a(n-47) -10286599241728*a(n-48) +133670360317952*a(n-49) -132373305884672*a(n-50) -213409776795648*a(n-51) +27968935034880*a(n-52) -114439382630400*a(n-53) -53710499610624*a(n-54) +22803071893504*a(n-55) -36764240576512*a(n-56) -26657024901120*a(n-57) -3002651901952*a(n-58) +859630993408*a(n-59) -146968412160*a(n-60) -5053029023744*a(n-61) +3498250862592*a(n-62) -1013612281856*a(n-63)

EXAMPLE

Some solutions for n=3

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

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

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

CROSSREFS

Sequence in context: A133462 A123762 A326014 * A070768 A221630 A235135

Adjacent sequences:  A220911 A220912 A220913 * A220915 A220916 A220917

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 24 2012

STATUS

approved

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Last modified July 6 15:57 EDT 2022. Contains 355111 sequences. (Running on oeis4.)