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 A262759 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row divisible by 5 and each column divisible by 7, read as a binary number with top and left being the most significant bits. 13
 2, 4, 3, 7, 9, 5, 13, 17, 25, 10, 26, 37, 49, 100, 19, 52, 107, 129, 319, 361, 37, 103, 321, 709, 1645, 1345, 1369, 74, 205, 865, 4953, 16450, 8605, 6193, 5476, 147, 410, 2449, 16705, 243220, 135595, 52993, 39751, 21609, 293, 820, 7299, 73345, 1614175 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...2......4.......7.......13........26.........52........103.........205 ...3......9......17.......37.......107........321........865........2449 ...5.....25......49......129.......709.......4953......16705.......73345 ..10....100.....319.....1645.....16450.....243220....1614175....15350125 ..19....361....1345.....8605....135595....3051121...31840777...475175089 ..37...1369....6193....52993...1635877...71515801.1252506169.32264365249 ..74...5476...39751...658381..37426418.3270912532 .147..21609..229841..5747701.595006235 .293..85849.1339569.51979793 .586.343396.8663743 LINKS R. H. Hardin, Table of n, a(n) for n = 1..84 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +a(n-3) -2*a(n-4) k=2: a(n) = 4*a(n-1) +9*a(n-3) -36*a(n-4) -8*a(n-6) +32*a(n-7) Empirical for row n: n=1: a(n) = 3*a(n-1) -3*a(n-2) +3*a(n-3) -2*a(n-4) n=2: [order 8] n=3: [order 17] n=4: [order 16] EXAMPLE Some solutions for n=4 k=4 ..1..0..0..0..1..1....1..1..1..1..0..0....1..0..0..0..1..1....1..1..1..1..0..0 ..1..0..1..0..0..0....1..1..1..1..0..0....1..0..1..1..0..1....1..1..0..0..1..0 ..1..0..0..0..1..1....1..1..1..1..0..0....1..0..1..0..0..0....1..0..1..1..0..1 ..1..1..1..1..0..0....0..1..1..0..0..1....1..1..1..1..0..0....1..0..0..0..1..1 ..1..1..0..1..1..1....0..1..1..0..0..1....1..1..0..0..1..0....1..0..1..1..0..1 ..1..1..1..1..0..0....0..1..1..0..0..1....1..1..0..1..1..1....1..1..0..0..1..0 CROSSREFS Column 1 is A046630. Row 1 is A262267. Row 2 is A262466(n+1). Sequence in context: A235494 A292960 A292963 * A246268 A246267 A101267 Adjacent sequences:  A262756 A262757 A262758 * A262760 A262761 A262762 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Sep 30 2015 STATUS approved

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Last modified January 26 16:30 EST 2021. Contains 340442 sequences. (Running on oeis4.)