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!)
 A227165 T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having a sum of one or less, with rows and columns of the latter in lexicographically nondecreasing order 6
 2, 3, 3, 4, 8, 4, 5, 18, 18, 5, 6, 36, 62, 36, 6, 7, 66, 193, 193, 66, 7, 8, 113, 558, 944, 558, 113, 8, 9, 183, 1507, 4528, 4528, 1507, 183, 9, 10, 283, 3828, 20336, 37012, 20336, 3828, 283, 10, 11, 421, 9149, 85018, 283430, 283430, 85018, 9149, 421, 11, 12, 606 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ..2...3.....4.......5........6..........7............8............9 ..3...8....18......36.......66........113..........183..........283 ..4..18....62.....193......558.......1507.........3828.........9149 ..5..36...193.....944.....4528......20336........85018.......330949 ..6..66...558....4528....37012.....283430......2010569.....13174529 ..7.113..1507...20336...283430....3754497.....46389565....529521521 ..8.183..3828...85018..2010569...46389565...1009485843..20376855291 ..9.283..9149..330949.13174529..529521521..20376855291.732609096798 .10.421.20609.1200425.79606861.5548518625.377546087348 LINKS R. H. Hardin, Table of n, a(n) for n = 1..127 FORMULA Empirical for column k: k=1: a(n) = n + 1 k=2: a(n) = (1/24)*n^4 + (1/12)*n^3 + (23/24)*n^2 + (11/12)*n + 1 k=3: [polynomial of degree 9] for n>3 k=4: [polynomial of degree 19] for n>8 k=5: [polynomial of degree 39] for n>19 EXAMPLE Some solutions for n=4 k=4 ..1..1..1..0....1..0..0..0....1..1..1..0....1..1..1..1....0..0..0..0 ..0..0..0..1....0..0..1..0....1..0..0..0....1..1..0..0....0..0..0..1 ..0..0..0..1....0..1..1..0....0..0..0..1....0..0..0..0....0..0..0..1 ..0..0..0..0....0..1..1..0....0..0..1..1....0..0..1..1....0..0..0..0 CROSSREFS Sequence in context: A156353 A239849 A202560 * A173933 A351407 A193821 Adjacent sequences: A227162 A227163 A227164 * A227166 A227167 A227168 KEYWORD nonn,tabl AUTHOR R. H. Hardin Jul 03 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 May 29 22:36 EDT 2024. Contains 372954 sequences. (Running on oeis4.)