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A303471 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
8, 128, 1033, 9110, 79377, 692636, 6051850, 52846843, 461529362, 4030762937, 35202137794, 307434409358, 2684948462398, 23448727446524, 204787130200395, 1788488024787439, 15619582094687097, 136412065575277095 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 4 of A303469.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +46*a(n-2) -45*a(n-3) -626*a(n-4) -454*a(n-5) +3362*a(n-6) +4834*a(n-7) -11974*a(n-8) -5100*a(n-9) +76824*a(n-10) +1064*a(n-11) -279364*a(n-12) -234634*a(n-13) -123891*a(n-14) +61518*a(n-15) +1304955*a(n-16) +1781392*a(n-17) +1362613*a(n-18) +3046799*a(n-19) +2392659*a(n-20) -3703363*a(n-21) -10637854*a(n-22) -16594164*a(n-23) -15747787*a(n-24) +1164554*a(n-25) +14083230*a(n-26) -2759852*a(n-27) -8828997*a(n-28) +23505494*a(n-29) +52936752*a(n-30) +54496267*a(n-31) +18062511*a(n-32) -48471125*a(n-33) -74206110*a(n-34) -23203749*a(n-35) +31338125*a(n-36) +28388603*a(n-37) -334667*a(n-38) -9249716*a(n-39) -2429504*a(n-40) +1208431*a(n-41) +521125*a(n-42) -3517*a(n-43) -5211*a(n-44) -12425*a(n-45) -6830*a(n-46) +132*a(n-47) +481*a(n-48) +48*a(n-49) for n>50
EXAMPLE
Some solutions for n=5
..0..1..0..1..1. .0..1..1..1..0. .0..0..1..0..1. .0..0..0..0..1
..0..0..0..1..0. .0..0..1..0..1. .1..1..0..0..1. .1..1..0..1..0
..0..0..0..0..0. .0..0..1..0..0. .1..1..0..1..1. .1..1..1..1..0
..0..1..0..1..1. .0..1..1..0..0. .1..1..0..0..1. .0..1..0..1..1
CROSSREFS
Cf. A303469.
Sequence in context: A301822 A302810 A061549 * A301998 A105094 A208711
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 24 2018
STATUS
approved

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Last modified April 21 16:08 EDT 2024. Contains 371874 sequences. (Running on oeis4.)