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A262845
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Number of (n+2)X(3+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
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1
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12, 196, 1336, 5184, 31512, 175820, 793812, 4140908, 21744992, 104726376, 525986400, 2691397140, 13304013852, 66260714708, 334758471368, 1670112463824, 8315216847336, 41755671803804, 208872540829092, 1041336962146684
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OFFSET
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1,1
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COMMENTS
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Column 3 of A262849.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 5*a(n-1) +203*a(n-3) -1015*a(n-4) -17262*a(n-6) +86310*a(n-7) +803306*a(n-9) -4016530*a(n-10) -22920723*a(n-12) +114603615*a(n-13) +424713065*a(n-15) -2123565325*a(n-16) -5289109868*a(n-18) +26445549340*a(n-19) +45727616604*a(n-21) -228638083020*a(n-22) -289788580823*a(n-24) +1448942904115*a(n-25) +1453125527917*a(n-27) -7265627639585*a(n-28) -5836364956590*a(n-30) +29181824782950*a(n-31) +16212555187738*a(n-33) -81062775938690*a(n-34) -21276199455861*a(n-36) +106380997279305*a(n-37) -6355957095425*a(n-39) +31779785477125*a(n-40) +38763541794536*a(n-42) -193817708972680*a(n-43)
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EXAMPLE
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Some solutions for n=4
..0..0..1..1..1....0..0..1..1..1....0..1..1..1..0....0..0..0..0..0
..0..0..1..1..1....1..0..1..0..1....0..0..0..0..0....0..0..0..0..0
..0..1..1..1..0....0..0..0..0..0....1..1..1..0..0....1..0..1..0..1
..1..1..1..0..0....0..0..0..0..0....0..1..1..1..0....1..0..1..0..1
..0..0..0..0..0....1..0..1..0..1....1..0..1..0..1....0..1..1..1..0
..0..1..1..1..0....0..1..1..1..0....0..0..0..0..0....0..0..1..1..1
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CROSSREFS
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Cf. A262849.
Sequence in context: A159498 A034671 A066230 * A321033 A048667 A115865
Adjacent sequences: A262842 A262843 A262844 * A262846 A262847 A262848
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Oct 03 2015
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STATUS
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approved
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