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A262483
Number of (n+3)X(2+3) 0..1 arrays with each row and column divisible by 13, read as a binary number with top and left being the most significant bits.
1
3, 5, 9, 23, 63, 171, 449, 1251, 3753, 10361, 29773, 87173, 260267, 772761, 2304365, 6903427, 20696375, 62044087, 185954533, 557590251, 1672770753, 5016014561, 15044598977, 45128057457, 135380730483, 406120387061, 1218323292537
OFFSET
1,1
COMMENTS
Column 2 of A262488.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) -a(n-4) +3*a(n-5) -a(n-6) +3*a(n-7) -a(n-8) +3*a(n-9) -a(n-10) +3*a(n-11) +2811*a(n-12) -8433*a(n-13) +2811*a(n-14) -8433*a(n-15) +2811*a(n-16) -8433*a(n-17) +2811*a(n-18) -8433*a(n-19) +2811*a(n-20) -8433*a(n-21) +2811*a(n-22) -8433*a(n-23) -219911*a(n-24) +659733*a(n-25) -219911*a(n-26) +659733*a(n-27) -219911*a(n-28) +659733*a(n-29) -219911*a(n-30) +659733*a(n-31) -219911*a(n-32) +659733*a(n-33) -219911*a(n-34) +659733*a(n-35) +3908061*a(n-36) -11724183*a(n-37) +3908061*a(n-38) -11724183*a(n-39) +3908061*a(n-40) -11724183*a(n-41) +3908061*a(n-42) -11724183*a(n-43) +3908061*a(n-44) -11724183*a(n-45) +3908061*a(n-46) -11724183*a(n-47)
EXAMPLE
Some solutions for n=4
..0..0..0..0..0....1..1..0..1..0....1..1..0..1..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....1..1..0..1..0....0..0..0..0..0
..0..0..0..0..0....0..1..1..0..1....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..1..1..0..1....1..1..0..1..0....1..1..0..1..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....1..1..0..1..0
..0..0..0..0..0....0..1..1..0..1....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....1..1..0..1..0....0..0..0..0..0....1..1..0..1..0
CROSSREFS
Cf. A262488.
Sequence in context: A089636 A241398 A373897 * A083366 A006722 A251413
KEYWORD
nonn
AUTHOR
R. H. Hardin, Sep 24 2015
STATUS
approved