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 A262420 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row divisible by 3 and column not divisible by 3, read as a binary number with top and left being the most significant bits. 14
 2, 0, 5, 6, 4, 10, 0, 45, 12, 21, 22, 114, 270, 48, 42, 0, 709, 1260, 1701, 144, 85, 86, 2892, 15310, 18228, 10206, 468, 170, 0, 15293, 124572, 428301, 200880, 61965, 1404, 341, 342, 72370, 1299070, 7577424, 9401742, 2353338, 371790, 4320, 682, 0, 367125 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....2.....0........6...........0.............22.................0 ....5.....4.......45.........114............709..............2892 ...10....12......270........1260..........15310............124572 ...21....48.....1701.......18228.........428301...........7577424 ...42...144....10206......200880........9401742.........326005344 ...85...468....61965.....2353338......220808869.......15231780324 ..170..1404...371790....25901100.....4856629870......655089996204 ..341..4320..2237301...289462380...108673357501....28755516792360 ..682.12960.13423806..3184570800..2390753728462..1236553617638640 .1365.39204.80601885.35172555474.52824430238229.53446495303862172 LINKS R. H. Hardin, Table of n, a(n) for n = 1..240 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) k=2: a(n) = 3*a(n-1) +3*a(n-2) -9*a(n-3) k=3: a(n) = 6*a(n-1) +9*a(n-2) -54*a(n-3) k=4: [order 7] k=5: [order 11] k=6: [order 13] k=7: [order 19] Empirical for row n: n=1: a(n) = 5*a(n-2) -4*a(n-4) n=2: a(n) = 5*a(n-1) +12*a(n-2) -60*a(n-3) -39*a(n-4) +195*a(n-5) +28*a(n-6) -140*a(n-7) n=3: [order 9] n=4: [order 11] n=5: [order 11] n=6: [order 17] n=7: [order 21] EXAMPLE Some solutions for n=4 k=4 ..1..1..0..1..1....1..1..1..1..0....0..0..1..1..0....1..1..0..0..0 ..1..1..0..1..1....0..0..1..1..0....1..0..0..1..0....1..0..0..1..0 ..1..0..1..0..1....1..1..1..1..0....1..1..1..1..0....0..0..1..1..0 ..1..1..1..1..0....1..1..0..0..0....1..0..1..0..1....1..1..0..1..1 ..1..0..1..0..1....1..0..1..0..1....0..0..0..0..0....0..1..1..0..0 CROSSREFS Column 1 is A000975(n+1). Row 1 is A047849((n+1)/2) for odd n. Sequence in context: A068558 A245058 A240657 * A240662 A188724 A082832 Adjacent sequences: A262417 A262418 A262419 * A262421 A262422 A262423 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Sep 22 2015 STATUS approved

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Last modified June 2 07:25 EDT 2023. Contains 363081 sequences. (Running on oeis4.)