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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A208637 T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors 11
 1, 2, 2, 4, 5, 4, 8, 11, 13, 8, 16, 23, 32, 34, 16, 32, 47, 71, 95, 89, 32, 64, 95, 150, 225, 284, 233, 64, 128, 191, 309, 494, 722, 851, 610, 128, 256, 383, 628, 1042, 1652, 2331, 2552, 1597, 256, 512, 767, 1267, 2149, 3577, 5572, 7548, 7655, 4181, 512, 1024, 1535 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...1....2....4.....8....16.....32.....64....128.....256.....512....1024 ...2....5...11....23....47.....95....191....383.....767....1535....3071 ...4...13...32....71...150....309....628...1267....2546....5105...10224 ...8...34...95...225...494...1042...2149...4375....8840...17784...35687 ..16...89..284...722..1652...3577...7504..15448...31440...63543..127884 ..32..233..851..2331..5572..12404..26508..55260..113427..230559..465773 ..64..610.2552..7548.18888..43284..94320.199299..412962..844943.1714680 .128.1597.7655.24476.64216.151656.337227.722733.1512764.3117620.6359210 LINKS R. H. Hardin, Table of n, a(n) for n = 1..1193 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 3*a(n-1) -a(n-2) k=3: a(n) = 4*a(n-1) -3*a(n-2) k=4: a(n) = 5*a(n-1) -6*a(n-2) +a(n-3) k=5: a(n) = 6*a(n-1) -10*a(n-2) +4*a(n-3) k=6: a(n) = 7*a(n-1) -15*a(n-2) +10*a(n-3) -a(n-4) k=7: a(n) = 8*a(n-1) -21*a(n-2) +20*a(n-3) -5*a(n-4) Empirical for row n: n=1: a(k)=2*a(k-1) n=2: a(k)=3*a(k-1)-2*a(k-2) n=3: a(k)=4*a(k-1)-5*a(k-2)+2*a(k-3) n=4: a(k)=5*a(k-1)-9*a(k-2)+7*a(k-3)-2*a(k-4) for k>5 n=5: a(k)=6*a(k-1)-14*a(k-2)+16*a(k-3)-9*a(k-4)+2*a(k-5) for k>7 n=6: a(k)=7*a(k-1)-20*a(k-2)+30*a(k-3)-25*a(k-4)+11*a(k-5)-2*a(k-6) for k>9 n=7: a(k)=8*a(k-1)-27*a(k-2)+50*a(k-3)-55*a(k-4)+36*a(k-5)-13*a(k-6)+2*a(k-7) for k>11 EXAMPLE Some solutions for n=4 k=3 ..0..0..0....0..0..1....0..1..1....0..0..1....0..0..1....0..1..0....0..1..0 ..1..1..0....1..0..1....1..0..1....1..0..1....1..0..1....1..0..1....1..0..1 ..0..1..1....0..1..0....0..1..0....0..1..0....1..0..0....0..1..0....1..0..1 ..0..0..1....1..0..1....0..1..0....0..1..0....1..1..0....1..0..1....1..0..0 CROSSREFS Column 2 is A001519(n+1) Column 3 is A199109(n-1) Row 2 is A052940(n-1) Sequence in context: A286101 A072454 A115216 * A252938 A229402 A266249 Adjacent sequences:  A208634 A208635 A208636 * A208638 A208639 A208640 KEYWORD nonn,tabl AUTHOR R. H. Hardin Feb 29 2012 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 June 12 10:58 EDT 2021. Contains 344947 sequences. (Running on oeis4.)