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A206273 Number of (n+1) X 5 0..2 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors. 1
4884, 11205, 39306, 145824, 495858, 1824315, 6254364, 22950822, 80340090, 297576123, 1049291592, 3857539692, 13593707712, 50108727009, 177035467728, 652290312486, 2303858318196, 8487080173464, 29999221547154, 110520245949639 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A206277.
LINKS
FORMULA
Empirical: a(n) = 16*a(n-2) +17*a(n-4) -718*a(n-6) -808*a(n-8) +190*a(n-9) +11438*a(n-10) -620*a(n-11) -67647*a(n-12) +3492*a(n-13) +312771*a(n-14) -33638*a(n-15) +1348688*a(n-16) -102062*a(n-17) -853413*a(n-18) -750694*a(n-19) -7005863*a(n-20) -5658450*a(n-21) -25736013*a(n-22) +2139694*a(n-23) +41772730*a(n-24) -53739682*a(n-25) -164352002*a(n-26) +21736512*a(n-27) -2519634*a(n-28) -337012654*a(n-29) -81817424*a(n-30) +250893326*a(n-31) +917258192*a(n-32) -1447771298*a(n-33) -3615704782*a(n-34) -244892440*a(n-35) -7691321895*a(n-36) -2662626796*a(n-37) -12292738880*a(n-38) -2993682446*a(n-39) -10162211538*a(n-40) -7852874164*a(n-41) -31856358785*a(n-42) -200802094*a(n-43) -45550537463*a(n-44) -8070319668*a(n-45) -40592892197*a(n-46) -7781538872*a(n-47) -2259711479*a(n-48) -4398359126*a(n-49) +6341638113*a(n-50) +13027313724*a(n-51) +5351561306*a(n-52) +11253724846*a(n-53) -5223909939*a(n-54) +3668371886*a(n-55) +2746211621*a(n-56) +967459284*a(n-57) +5059156578*a(n-58) +4482864880*a(n-59) +3864467452*a(n-60) +3432722708*a(n-61) +1699749100*a(n-62) +1983595068*a(n-63) +1420608808*a(n-64) +463076952*a(n-65) +968625564*a(n-66) +162765888*a(n-67) +473812528*a(n-68) +71231744*a(n-69) +153455092*a(n-70) +17059712*a(n-71) +38080432*a(n-72) -2547072*a(n-73) +6152688*a(n-74) -676832*a(n-76) for n>82.
EXAMPLE
Some solutions for n=4:
..1..1..2..2..1....2..1..2..0..1....0..2..1..2..2....0..1..2..0..2
..0..2..1..1..2....2..2..0..0..2....0..0..2..2..2....0..1..0..2..2
..1..0..1..1..2....2..2..2..1..0....0..0..2..2..0....0..2..1..2..2
..2..0..0..2..1....1..1..0..2..2....1..1..0..0..1....1..0..1..1..0
..2..2..1..0..1....0..2..1..1..1....1..1..0..0..0....2..0..0..2..1
CROSSREFS
Sequence in context: A366468 A210385 A075294 * A086127 A126704 A374804
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 05 2012
STATUS
approved

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Last modified July 24 13:53 EDT 2024. Contains 374584 sequences. (Running on oeis4.)