The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A196696 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,1,3,0,4 for x=0,1,2,3,4 8
 1, 2, 2, 3, 5, 3, 4, 11, 11, 4, 6, 34, 76, 34, 6, 9, 101, 408, 408, 101, 9, 13, 299, 2025, 3394, 2025, 299, 13, 19, 890, 10548, 30971, 30971, 10548, 890, 19, 28, 2643, 55431, 299031, 546956, 299031, 55431, 2643, 28, 41, 7855, 289038, 2810070, 9357578, 9357578 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 4's Table starts ..1.....2.......3..........4............6...............9................13 ..2.....5......11.........34..........101.............299...............890 ..3....11......76........408.........2025...........10548.............55431 ..4....34.....408.......3394........30971..........299031...........2810070 ..6...101....2025......30971.......546956.........9357578.........155701871 ..9...299...10548.....299031......9357578.......279754939........8471917814 .13...890...55431....2810070....155701871......8471917814......465819437152 .19..2643..289038...26244524...2639528950....259951215394....25583402376768 .28..7855.1506376..246996575..44828048153...7909511305426..1398455518363119 .41.23340.7857827.2321651409.758613680168.240483051204609.76661027104639150 LINKS R. H. Hardin, Table of n, a(n) for n = 1..220 EXAMPLE Some solutions for n=6 k=4 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..1 ..3..0..1..1....1..1..3..0....1..1..0..0....1..0..0..1....0..1..0..0 ..0..3..0..0....0..3..0..3....0..3..0..3....1..0..3..1....0..1..3..0 ..0..1..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..3..0..3 ..0..1..0..0....0..3..0..3....0..0..3..0....0..0..1..0....1..0..0..0 ..0..0..1..1....0..1..1..0....0..1..1..0....0..0..1..0....1..0..3..0 CROSSREFS Column 1 is A000930(n+1) Sequence in context: A227641 A295097 A295551 * A196729 A197069 A197450 Adjacent sequences: A196693 A196694 A196695 * A196697 A196698 A196699 KEYWORD nonn,tabl AUTHOR R. H. Hardin Oct 05 2011 STATUS approved

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

Last modified May 21 02:29 EDT 2024. Contains 372720 sequences. (Running on oeis4.)