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A262795
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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each row divisible by 5 and column not divisible by 5, read as a binary number with top and left being the most significant bits.
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15
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0, 36, 0, 76, 144, 0, 344, 528, 625, 0, 2178, 4704, 4898, 2601, 0, 15556, 56880, 81954, 38688, 10404, 0, 82386, 787536, 2070492, 1217748, 269638, 41616, 0, 479148, 8423568, 53647609, 62476744, 15883746, 1873728, 167281, 0, 2894976, 98893920
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OFFSET
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1,2
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COMMENTS
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Table starts
.0.......36.........76..........344...........2178...........15556
.0......144........528.........4704..........56880..........787536
.0......625.......4898........81954........2070492........53647609
.0.....2601......38688......1217748.......62476744......3232334529
.0....10404.....269638.....15883746.....1628730346....167631328804
.0....41616....1873728....207296448....42425454480...8709248924880
.0...167281...13349904...2745709200..1124519007690.461326213311625
.0...670761...94039306..36033729098.29517820715106
.0..2683044..656071804.468737604632
.0.10732176.4575740208
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1)
k=2: [order 8]
k=3: [order 53]
Empirical for row n:
n=1: [linear recurrence of order 30]
n=2: [order 31]
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EXAMPLE
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Some solutions for n=3 k=4
..1..1..0..0..1..0....1..0..0..0..1..1....1..0..1..0..0..0....0..0..1..1..1..1
..1..0..1..0..0..0....1..1..0..0..1..0....0..0..1..1..1..1....0..0..0..1..0..1
..0..1..1..0..0..1....0..1..1..1..1..0....0..1..1..0..0..1....1..1..0..0..1..0
..1..1..0..1..1..1....1..0..1..1..0..1....0..1..1..0..0..1....1..0..0..0..1..1
..1..0..0..0..1..1....0..1..1..1..1..0....1..1..1..1..0..0....1..0..0..0..1..1
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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