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 A262917 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row divisible by 3 and each column divisible by 7, read as a binary number with top and left being the most significant bits. 11
 1, 1, 2, 1, 3, 3, 1, 6, 5, 5, 1, 11, 15, 9, 10, 1, 22, 33, 53, 27, 19, 1, 43, 99, 137, 318, 61, 37, 1, 86, 261, 853, 1411, 1207, 145, 74, 1, 171, 783, 2953, 18190, 7417, 5797, 435, 147, 1, 342, 2241, 17333, 121507, 152587, 51769, 34782, 1253, 293, 1, 683, 6723, 71721 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ...1....1.......1........1...........1...........1............1...........1 ...2....3.......6.......11..........22..........43...........86.........171 ...3....5......15.......33..........99.........261..........783........2241 ...5....9......53......137.........853........2953........17333.......71721 ..10...27.....318.....1411.......18190......121507......1444558....12031011 ..19...61....1207.....7417......152587.....1550557.....30497815...420921961 ..37..145....5797....51769.....2045269....33948145...1282949605.32134185721 ..74..435...34782...529931....42299374..1361585275.102437680622 .147.1253..189135..4701201...727767387.42115306149 .293.3593.1089701.44632313.13958567845 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +a(n-3) -2*a(n-4) k=2: [order 15] k=3: [order 15] Empirical for row n: n=2: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) n=3: a(n) = 3*a(n-1) +3*a(n-2) -9*a(n-3) n=4: [order 8] n=5: [order 10] n=6: [order 65] EXAMPLE Some solutions for n=4 k=4 ..0..0..1..1..0....0..1..1..1..1....1..0..0..1..0....0..0..0..0..0 ..1..1..0..0..0....0..1..1..0..0....1..1..0..0..0....0..0..0..0..0 ..1..1..1..1..0....0..1..1..1..1....1..1..0..1..1....0..0..1..1..0 ..1..1..0..0..0....0..0..0..0..0....0..1..0..0..1....0..0..1..1..0 ..0..0..1..1..0....0..0..0..1..1....0..0..0..1..1....0..0..1..1..0 CROSSREFS Column 1 is A046630(n-1). Column 2 is A262314(n-1). Row 2 is A005578(n+1). Row 3 is A262326. Sequence in context: A127119 A322265 A066704 * A165007 A284979 A127123 Adjacent sequences:  A262914 A262915 A262916 * A262918 A262919 A262920 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 04 2015 STATUS approved

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Last modified December 7 03:00 EST 2019. Contains 329836 sequences. (Running on oeis4.)