A181212 T(n,k)=Number of nXk binary matrices with no two 1's adjacent diagonally or antidiagonally.
2, 4, 4, 8, 9, 8, 16, 25, 25, 16, 32, 64, 119, 64, 32, 64, 169, 484, 484, 169, 64, 128, 441, 2117, 2704, 2117, 441, 128, 256, 1156, 9025, 17424, 17424, 9025, 1156, 256, 512, 3025, 38936, 104976, 177073, 104976, 38936, 3025, 512, 1024, 7921, 167281, 652864
Offset: 1
Examples
Table starts ....2.....4.......8........16..........32...........64............128 ....4.....9......25........64.........169..........441...........1156 ....8....25.....119.......484........2117.........9025..........38936 ...16....64.....484......2704.......17424.......104976.........652864 ...32...169....2117.....17424......177073......1630729.......15786848 ...64...441....9025....104976.....1630729.....21836929......315701824 ..128..1156...38936....652864....15786848....315701824.....6985036032 ..256..3025..167281...4000000...149352841...4388400025...146719641600 ..512..7921..720083..24681024..1429585373..62249751001..3168621039616 .1024.20736.3097600.151782400.13610488896.873880953856.67463750631424
Links
- Liang Kai, Table of n, a(n) for n = 1..1485 (first 839 terms from R. H. Hardin)
Crossrefs
Diagonal is A067965.