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A017341 10n+6. 13
6, 16, 26, 36, 46, 56, 66, 76, 86, 96, 106, 116, 126, 136, 146, 156, 166, 176, 186, 196, 206, 216, 226, 236, 246, 256, 266, 276, 286, 296, 306, 316, 326, 336, 346, 356, 366, 376, 386, 396, 406, 416, 426, 436, 446, 456, 466, 476, 486, 496, 506, 516, 526, 536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Number of 4 X n binary 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 same relative order as those in the triple (x,y,z). - Sergey Kitaev (kitaev(AT)ms.uky.edu), Nov 11 2004

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..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.

S. Kitaev, On multi-avoidance of right angled numbered polyomino patterns, University of Kentucky Research Reports (2004).

Index entries for linear recurrences with constant coefficients, signature (2,-1).

FORMULA

a(n) = 2*a(n-1) -a(n-2) with n>1, a(0)=6, a(1)=16. - Vincenzo Librandi, May 29 2011

a(n) = (n+1)*A016861(n+1)-n*A016861(n). - Bruno Berselli, Jan 18 2013

MATHEMATICA

Range[6, 1000, 10] (* Vladimir Joseph Stephan Orlovsky, May 28 2011 *)

PROG

(MAGMA) [10*n+6: n in [0..60]]; // Vincenzo Librandi, May 29 2011

(PARI) a(n)=10*n+6 \\ Charles R Greathouse IV, Jul 10 2016

CROSSREFS

Cf. A008592, A016861, A017329.

Sequence in context: A283609 A043513 A277593 * A232491 A191157 A222180

Adjacent sequences:  A017338 A017339 A017340 * A017342 A017343 A017344

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 25 05:37 EDT 2017. Contains 284036 sequences.