The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A233217 T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order 14
 1, 2, 3, 6, 23, 11, 23, 376, 452, 48, 99, 7222, 35446, 10313, 236, 452, 147019, 3054973, 3638416, 249062, 1248, 2136, 3054973, 268289572, 1340889772, 380283286, 6147803, 6896, 10313, 63927526, 23644611625, 496475792293, 591021089923, 39892988056 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ....1.........2.............6.................23.....................99 ....3........23...........376...............7222.................147019 ...11.......452.........35446............3054973..............268289572 ...48.....10313.......3638416.........1340889772...........496475792293 ..236....249062.....380283286.......591021089923........919538740854193 .1248...6147803...39892988056....260625046992322....1703198747507336644 .6896.152986472.4187991850726.114934898294104873.3154729081272072714436 LINKS R. H. Hardin, Table of n, a(n) for n = 1..161 FORMULA Empirical for column k: k=1: a(n) = 12*a(n-1) -44*a(n-2) +48*a(n-3) k=2: a(n) = 35*a(n-1) -259*a(n-2) +225*a(n-3) k=3: a(n) = 127*a(n-1) -2331*a(n-2) +2205*a(n-3) k=4: a(n) = 491*a(n-1) -22099*a(n-2) +21609*a(n-3) k=5: a(n) = 1975*a(n-1) -228357*a(n-2) +1804281*a(n-3) -4170978*a(n-4) +2593080*a(n-5) k=6: [order 7] k=7: [order 11] Empirical for row n: n=1: a(n) = 9*a(n-1) -23*a(n-2) +15*a(n-3) n=2: a(n) = 29*a(n-1) -175*a(n-2) +147*a(n-3) for n>4 n=3: a(n) = 111*a(n-1) -2128*a(n-2) +10532*a(n-3) -17559*a(n-4) +9045*a(n-5) for n>7 n=4: [order 9] for n>12 n=5: [order 19] for n>23 n=6: [order 42] for n>47 EXAMPLE Some solutions for n=3 k=4 ..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..1 ..2..1..2..1....0..1..5..1....0..2..2..1....2..0..0..0....0..2..1..3 ..2..0..2..2....1..5..1..0....4..0..1..0....0..1..3..5....2..0..0..2 CROSSREFS Column 1 is A233162(n+1) Row 1 is A233106 Sequence in context: A303584 A261014 A000616 * A261963 A183179 A018300 Adjacent sequences: A233214 A233215 A233216 * A233218 A233219 A233220 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 06 2013 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 June 4 03:55 EDT 2023. Contains 363118 sequences. (Running on oeis4.)