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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A302150 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. 11
 1, 1, 2, 1, 1, 4, 1, 2, 1, 8, 1, 2, 4, 1, 16, 1, 3, 5, 10, 1, 32, 1, 6, 11, 17, 28, 1, 64, 1, 10, 34, 56, 65, 84, 1, 128, 1, 21, 88, 255, 289, 257, 260, 1, 256, 1, 42, 271, 1038, 2005, 1529, 1025, 816, 1, 512, 1, 86, 798, 4771, 12212, 15999, 8152, 4097, 2576, 1, 1024, 1, 179 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ...1.1....1.....1......1.......1.........1..........1............1 ...2.1....2.....2......3.......6........10.........21...........42 ...4.1....4.....5.....11......34........88........271..........798 ...8.1...10....17.....56.....255......1038.......4771........21866 ..16.1...28....65....289....2005.....12212......83092.......578398 ..32.1...84...257...1529...15999....145150....1482725.....15902462 ..64.1..260..1025...8152..128319...1728734...26544210....439103633 .128.1..816..4097..43676.1030709..20614702..476725579..12181287002 .256.1.2576.16385.234707.8283143.245896061.8575073202.338788296901 LINKS R. H. Hardin, Table of n, a(n) for n = 1..363 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = a(n-1) k=3: a(n) = 4*a(n-1) -2*a(n-2) -2*a(n-3) k=4: a(n) = 5*a(n-1) -4*a(n-2) for n>3 k=5: [order 12] k=6: [order 7] for n>9 k=7: [order 51] for n>54 Empirical for row n: n=1: a(n) = a(n-1) n=2: a(n) = 2*a(n-1) +a(n-2) -a(n-3) -2*a(n-4) +a(n-5) n=3: [order 25] for n>27 n=4: [order 85] for n>89 EXAMPLE Some solutions for n=5 k=4 ..0..1..1..0. .0..1..1..1. .0..1..1..0. .0..1..1..1. .0..1..1..1 ..1..1..1..1. .1..1..1..0. .1..1..1..1. .1..1..1..1. .1..1..1..0 ..0..1..1..0. .1..1..1..1. .0..1..1..0. .0..1..1..0. .1..1..1..0 ..0..1..1..1. .0..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1 ..0..1..1..0. .1..1..1..0. .1..1..1..0. .1..1..1..0. .0..1..1..0 CROSSREFS Column 1 is A000079(n-1). Column 4 is A052539(n-2). Row 2 is A240513(n-3). Sequence in context: A208482 A199856 A301906 * A193554 A131350 A131087 Adjacent sequences:  A302147 A302148 A302149 * A302151 A302152 A302153 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 02 2018 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 November 29 21:32 EST 2021. Contains 349416 sequences. (Running on oeis4.)