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A205052 Number of (n+1)X6 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors 1
10948, 100761, 1280452, 24394205, 431904792, 9058296062, 163545596549, 3436199624978, 62144367718500, 1304372025158124, 23615958786301788, 495139735493585017, 8974400450008788090, 187956356940402485893 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A205055
LINKS
FORMULA
Empirical: a(n) = 13*a(n-1) +299*a(n-2) -4578*a(n-3) +28279*a(n-4) -98566*a(n-5) +159847*a(n-6) +547528*a(n-7) -6073899*a(n-8) +33328685*a(n-9) -146660196*a(n-10) +572321354*a(n-11) -2052677255*a(n-12) +7152100549*a(n-13) -25352035432*a(n-14) +82891237748*a(n-15) -208860085565*a(n-16) +281803017469*a(n-17) +553354110102*a(n-18) -5205216967282*a(n-19) +19930137652333*a(n-20) -52957907040551*a(n-21) +108841406820769*a(n-22) -182812477278903*a(n-23) +265626205968818*a(n-24) -366897218681479*a(n-25) +538782591834675*a(n-26) -848739359631996*a(n-27) +1299616549835953*a(n-28) -1828257234241608*a(n-29) +2484384044912477*a(n-30) -3598681856717366*a(n-31) +5637486055025124*a(n-32) -8834408905204750*a(n-33) +13013899823394853*a(n-34) -17706804869961144*a(n-35) +22274681279461100*a(n-36) -25959978362427625*a(n-37) +28029627544119848*a(n-38) -27988354113474707*a(n-39) +25745558036318711*a(n-40) -21768609607304994*a(n-41) +17068651833862667*a(n-42) -12717744224114562*a(n-43) +9208578335015682*a(n-44) -6412345799686755*a(n-45) +4123321812563763*a(n-46) -2381142684593764*a(n-47) +1263901309648708*a(n-48) -658050034316088*a(n-49) +343403949208472*a(n-50) -167167991085576*a(n-51) +70213790096284*a(n-52) -25795317518668*a(n-53) +9405591109200*a(n-54) -3651761523600*a(n-55) +1293653836800*a(n-56) -339912576000*a(n-57) +55807315200*a(n-58) -4292870400*a(n-59) for n>65
EXAMPLE
Some solutions for n=4
..2..1..2..1..2..0....1..0..0..0..0..0....2..1..0..1..1..2....0..0..0..0..0..0
..1..2..0..2..0..2....0..0..0..0..0..0....1..2..1..0..2..0....0..0..0..0..0..0
..0..1..2..0..1..0....0..0..0..0..0..0....2..1..2..1..0..2....0..0..0..0..0..0
..1..0..1..2..0..1....0..0..0..0..0..0....0..2..1..2..1..1....0..0..0..0..0..0
..1..2..0..1..2..0....0..0..0..0..0..0....0..1..2..1..2..2....0..0..0..0..0..0
CROSSREFS
Sequence in context: A003919 A179250 A105716 * A251170 A035913 A124668
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 21 2012
STATUS
approved

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Last modified April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)