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A099048
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Number of 5 X n 0-1 matrices avoiding simultaneously the right angled numbered polyomino patterns (ranpp) (00;1), (01;0), (10;0) and (11;0). An occurrence of a ranpp (xy;z) in a matrix A=(a(i,j)) is a triple (a(i1,j1), a(i1,j2), a(i2,j1)) where i1<i2, j1<j2 and these elements are in the same relative order as those in the triple (x,y,z). In general, the number of m X n 0-1 matrices in question is given by (n+1)*2^(m-1)+2*(n-1).
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1
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32, 50, 68, 86, 104, 122, 140, 158, 176, 194, 212, 230, 248, 266, 284, 302, 320, 338, 356, 374, 392, 410, 428, 446, 464, 482, 500, 518, 536, 554, 572, 590, 608, 626, 644, 662, 680, 698, 716, 734, 752, 770, 788, 806, 824, 842, 860, 878, 896, 914, 932, 950
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OFFSET
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1,1
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COMMENTS
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Also, temperatures in Fahrenheit that convert to Celsius as nonnegative multiples of 10. - J. Lowell, Jul 28 2007
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..5000
Tanya Khovanova, Recursive Sequences
S. Kitaev, On multi-avoidance of right angled numbered polyomino patterns, Integers: Electronic Journal of Combinatorial Number Theory 4 (2004), A21, 20pp.
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FORMULA
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a(n) = 18*n+14
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MATHEMATICA
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Table[18n + 14, {n, 52}] (* Robert G. Wilson v, Nov 16 2004 *)
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PROG
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(MAGMA) [18*n+14: n in [1..60]]; // Vincenzo Librandi, Jul 25 2011
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CROSSREFS
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a(n) = 2*A017245(n).
Sequence in context: A066472 A140172 A037008 * A176542 A048734 A077534
Adjacent sequences: A099045 A099046 A099047 * A099049 A099050 A099051
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KEYWORD
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nonn,easy
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AUTHOR
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Sergey Kitaev (kitaev(AT)ms.uky.edu), Nov 13 2004
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EXTENSIONS
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More terms from Robert G. Wilson v, Nov 16 2004
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STATUS
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approved
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