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 A186915 T(n,k)=Number of (n+2)X(k+2) 0..6 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order 10
 2066505, 59969593, 59969593, 1276581035, 2974946682, 1276581035, 22000126445, 99241308567, 99241308567, 22000126445, 319741716426, 2536761070723, 4813465754996, 2536761070723, 319741716426, 4028133387613, 52666517720011 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...........2066505.............59969593.............1276581035 ..........59969593...........2974946682............99241308567 ........1276581035..........99241308567..........4813465754996 .......22000126445........2536761070723........171334955820947 ......319741716426.......52666517720011.......4805827783188400 .....4028133387613......921058887545363.....110909004238159456 ....44902749582723....13921822487031205....2169936652932512523 ...449959668016830...185414592506642580...36804096662464163093 ..4103914508092780..2208956268019713255..550615265988952206164 .34409633745323847.23828517723857362267.7367827886026471340866 LINKS R. H. Hardin, Table of n, a(n) for n = 1..126 R. H. Hardin, Polynomials for columns 1-5 FORMULA Empirical: T(n,k) is a polynomial of degree 6k+77, for fixed k. Let T(n,k,z) be the number of (n+2)X(k+2) 0..z arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order. Then empirically T(n,k,z) is a polynomial of degree z*k + z*(z+1)*(z+5)/6 in n, for fixed k. EXAMPLE Some solutions for 5X4 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0 ..1..1..3..3....1..1..1..5....0..1..4..6....0..1..5..6....1..2..4..4 ..1..4..5..5....5..5..5..6....0..3..2..5....1..5..6..0....5..6..0..1 CROSSREFS Sequence in context: A206667 A251512 A113568 * A186907 A186906 A335398 Adjacent sequences: A186912 A186913 A186914 * A186916 A186917 A186918 KEYWORD nonn,tabl AUTHOR R. H. Hardin, general degree formula intuited by D. S. McNeil in the Sequence Fans Mailing List, Feb 28 2011 STATUS approved

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Last modified March 1 22:23 EST 2024. Contains 370443 sequences. (Running on oeis4.)