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 A197043 Number of n X 4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,2,0,1,3 for x=0,1,2,3,4. 1
 3, 65, 698, 7407, 79785, 855746, 9248339, 99900759, 1077578216, 11625151797, 125460417513, 1353828298540, 14607942448781, 157629746459857, 1700936665665566, 18354053399564603, 198051140064611759 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Every 0 is next to zero 4's, every 1 is next to one 2, every 2 is next to two 0's, every 3 is next to three 1's, every 4 is next to four 3's Column 4 of A197047. LINKS R. H. Hardin, Table of n, a(n) for n = 1..200 FORMULA Empirical: a(n) = 4*a(n-1) +28*a(n-2) +358*a(n-3) +1066*a(n-4) +3233*a(n-5) +58*a(n-6) +55877*a(n-7) -10962*a(n-8) -212282*a(n-9) +690326*a(n-10) -1520371*a(n-11) -7916252*a(n-12) -1567481*a(n-13) -19795399*a(n-14) -68513780*a(n-15) -100471926*a(n-16) +150552822*a(n-17) +203704917*a(n-18) -1964926035*a(n-19) +3823483787*a(n-20) +5879669725*a(n-21) -12580086456*a(n-22) +48023942458*a(n-23) +53705625576*a(n-24) -48457895929*a(n-25) +164988022364*a(n-26) -156665637319*a(n-27) -474353579032*a(n-28) +386055175951*a(n-29) -940280392852*a(n-30) -222124652675*a(n-31) +2046157508346*a(n-32) -3443358099944*a(n-33) +590312024069*a(n-34) +4700498286799*a(n-35) -8159093163960*a(n-36) +3717168649647*a(n-37) +4135757823509*a(n-38) -18212089930666*a(n-39) +20149157854024*a(n-40) -1664423565826*a(n-41) -20514675813985*a(n-42) +60858115989303*a(n-43) -56062916423202*a(n-44) -31639022269308*a(n-45) +104393851324462*a(n-46) -90185807480505*a(n-47) +4169455004665*a(n-48) +85571527347546*a(n-49) -103002287103213*a(n-50) +52468855709742*a(n-51) +28763768584718*a(n-52) -73815420862647*a(n-53) +63361158850554*a(n-54) -18264789296893*a(n-55) -11874099335884*a(n-56) +16523933976201*a(n-57) -4646904993924*a(n-58) -8129822077478*a(n-59) +6033830690528*a(n-60) +1999665137998*a(n-61) -301212821757*a(n-62) +1427065361370*a(n-63) -6874657511467*a(n-64) +5881396620087*a(n-65) -2587951010117*a(n-66) +1419950262640*a(n-67) -719610755022*a(n-68) -145592242351*a(n-69) +136212276432*a(n-70) -219579760579*a(n-71) +238645136315*a(n-72) -82310137140*a(n-73) -5825188657*a(n-74) -18009542313*a(n-75) +5086801469*a(n-76) +7204434681*a(n-77) -1466817850*a(n-78) -149182142*a(n-79) -82992970*a(n-80) +166422207*a(n-81) -11424669*a(n-82) -36465465*a(n-83) +4781881*a(n-84) +57613*a(n-85) -849763*a(n-86) +242870*a(n-87) +77700*a(n-88). EXAMPLE Some solutions for n=5: ..0..0..0..0....2..0..0..0....1..0..2..1....0..1..0..2....0..0..0..0 ..0..0..0..0....0..0..0..2....2..0..0..0....2..2..0..0....2..1..1..2 ..1..2..0..0....0..0..0..2....0..0..0..0....0..0..1..2....0..1..0..0 ..0..2..2..0....2..1..1..0....0..0..0..0....2..0..1..0....0..2..0..2 ..0..0..2..0....0..0..2..0....2..0..0..0....1..0..2..0....0..2..0..1 CROSSREFS Sequence in context: A300010 A196798 A196586 * A188984 A112000 A216859 Adjacent sequences: A197040 A197041 A197042 * A197044 A197045 A197046 KEYWORD nonn AUTHOR R. H. Hardin, Oct 08 2011 STATUS approved

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Last modified June 8 14:02 EDT 2023. Contains 363165 sequences. (Running on oeis4.)