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A205259 Number of (n+2)X5 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..1 introduced in row major order 1
13728, 379283, 10529929, 291785631, 8084022743, 224000986714, 6206887994602, 171986199003963, 4765555106346913, 132048564894225565, 3658927781418150167, 101385062146623719424, 2809274065502996660486, 77842047193745207617583 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A205264

LINKS

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

FORMULA

Empirical: a(n) = 24*a(n-1) +53*a(n-2) +1465*a(n-3) -1107*a(n-4) -25673*a(n-5) -247819*a(n-6) -550533*a(n-7) +697591*a(n-8) +15178363*a(n-9) +53919450*a(n-10) +4551631*a(n-11) -516472182*a(n-12) -1346327865*a(n-13) +744109006*a(n-14) +3473974947*a(n-15) +12952141407*a(n-16) +21015323117*a(n-17) -44020592596*a(n-18) -100642730289*a(n-19) -60184202634*a(n-20) +80881454218*a(n-21) +259035347944*a(n-22) +384540230999*a(n-23) +117584733689*a(n-24) -767675939786*a(n-25) -231093935735*a(n-26) -1521375317894*a(n-27) +73194629483*a(n-28) +5503756182745*a(n-29) -8597712202427*a(n-30) +14597779118943*a(n-31) -12854085775446*a(n-32) -5313715900264*a(n-33) +18453399473674*a(n-34) -30440132835401*a(n-35) +38556330348190*a(n-36) -20518429857100*a(n-37) +13153667863921*a(n-38) -7073851046605*a(n-39) -17098722777627*a(n-40) +9671431779473*a(n-41) -5079060554413*a(n-42) +19930032574587*a(n-43) +20352217031887*a(n-44) -10327509516016*a(n-45) -8684232337140*a(n-46) -32544012218479*a(n-47) -12316078601634*a(n-48) -5548478317346*a(n-49) +6219625822334*a(n-50) +16123640183072*a(n-51) +13627255329834*a(n-52) +4079732707828*a(n-53) -1555889171341*a(n-54) -2806974522629*a(n-55) -1293528478775*a(n-56) +497610016158*a(n-57) +593158677734*a(n-58) +379297128524*a(n-59) -106979412634*a(n-60) -179267838764*a(n-61) -83099432568*a(n-62) -2109960240*a(n-63) +14359602464*a(n-64) +8407165856*a(n-65) +724117696*a(n-66) -644495872*a(n-67) -242509824*a(n-68) +1507328*a(n-69) +12877824*a(n-70) +131072*a(n-71) -524288*a(n-72)

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A236052 A178486 A236708 * A235184 A270639 A031807

Adjacent sequences:  A205256 A205257 A205258 * A205260 A205261 A205262

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 24 2012

STATUS

approved

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Last modified January 17 20:36 EST 2020. Contains 330987 sequences. (Running on oeis4.)