This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A100315 Number of 3 X n 0-1 matrices avoiding simultaneously the right angled numbered polyomino patterns (ranpp) (00;1), (01;0), (10;0) and (01;1). 3
 1, 8, 14, 22, 34, 54, 90, 158, 290, 550, 1066, 2094, 4146, 8246, 16442, 32830, 65602, 131142, 262218, 524366, 1048658, 2097238, 4194394, 8388702, 16777314, 33554534, 67108970, 134217838, 268435570, 536871030, 1073741946, 2147483774, 4294967426, 8589934726 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS 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 i10, a(0)=1. From Chai Wah Wu, Aug 26 2016: (Start) a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3) for n > 3. G.f.: 1 + 2*x*(4 - 9*x + 3*x^2)/((1 - x )^2*(1 - 2*x)). (End) MATHEMATICA Table[4*n + 2^n + 2, {n, 50}] (* Vladimir Joseph Stephan Orlovsky, Jul 08 2011 *) CROSSREFS Cf. A100314 (m=2), A100316 (m=4). Sequence in context: A287177 A063216 A238290 * A224952 A248700 A001049 Adjacent sequences:  A100312 A100313 A100314 * A100316 A100317 A100318 KEYWORD nonn,easy AUTHOR Sergey Kitaev, Nov 13 2004 EXTENSIONS a(0)=1 prepended by Alois P. Heinz, Dec 21 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 17 22:28 EDT 2019. Contains 328134 sequences. (Running on oeis4.)