The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A241329 Number of 2 X n 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order. 1
 2, 8, 59, 530, 4877, 45057, 416533, 3851085, 35606121, 329205872, 3043762177, 28141931363, 260193887579, 2405693427789, 22242493569775, 205649030142198, 1901384099152245, 17579764368539693, 162538497819201097 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 12*a(n-1) - 26*a(n-2) + 2*a(n-3) + 28*a(n-4) - 6*a(n-5) - 9*a(n-6) for n>8. Empirical g.f.: x*(2 - 16*x + 15*x^2 + 26*x^3 - 21*x^4 - 17*x^5 + 5*x^6 + 3*x^7) / ((1 - x)*(1 - x - x^2)*(1 - 10*x + 6*x^2 + 9*x^3)). - Colin Barker, Oct 29 2018 EXAMPLE Some solutions for n=4: ..0..1..2..1....0..1..2..3....0..1..2..3....0..0..1..2....0..1..2..3 ..1..2..1..0....3..0..3..0....2..3..1..3....0..0..1..3....3..1..3..2 CROSSREFS Row 2 of A241328. Sequence in context: A162072 A162073 A162065 * A346065 A349585 A178165 Adjacent sequences:  A241326 A241327 A241328 * A241330 A241331 A241332 KEYWORD nonn AUTHOR R. H. Hardin, Apr 19 2014 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 December 1 05:20 EST 2021. Contains 349426 sequences. (Running on oeis4.)