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 A262239 Number of (n+3)X(4+3) 0..1 arrays with each row and column divisible by 11, read as a binary number with top and left being the most significant bits. 1
 12, 31, 238, 1306, 10747, 77490, 778464, 4345849, 31098659, 251964601, 2327886878 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 4 of A262240. LINKS Michael S. Branicky, Python program EXAMPLE Some solutions for n=5 ..0..0..1..0..1..1..0....0..0..1..0..1..1..0....0..0..1..0..1..1..0 ..0..1..0..0..0..0..1....1..1..0..0..0..1..1....1..1..1..1..0..0..1 ..0..1..1..0..1..1..1....0..1..1..0..1..1..1....0..1..0..0..0..0..1 ..0..1..1..0..1..1..1....1..0..0..0..0..1..0....1..1..1..1..0..0..1 ..1..1..0..0..0..1..1....1..1..0..0..0..1..1....1..1..1..1..0..0..1 ..0..0..0..0..0..0..0....0..1..1..0..1..1..1....0..0..1..0..1..1..0 ..1..0..0..0..0..1..0....0..1..0..0..0..0..1....0..0..0..0..0..0..0 ..1..1..0..0..0..1..1....0..0..1..0..1..1..0....0..1..0..0..0..0..1 PROG (Python) # see link for faster program from itertools import product def a(n): count = 0 mn, mx = min(n+3, 7), max(n+3, 7) cands = [bin(m)[2:].zfill(mn) for m in range(0, 2**mn, 11)] for arr in product(cands, repeat=mx): vecs = ("".join(arr[i][j] for i in range(mx)) for j in range(mn)) if all(int(v, 2)%11 == 0 for v in vecs): count += 1 return count print([a(n) for n in range(1, 4)]) # Michael S. Branicky, Dec 31 2021 CROSSREFS Cf. A262240. Sequence in context: A008841 A038624 A302362 * A074299 A118528 A031118 Adjacent sequences: A262236 A262237 A262238 * A262240 A262241 A262242 KEYWORD nonn,more AUTHOR R. H. Hardin, Sep 15 2015 STATUS approved

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Last modified December 4 09:27 EST 2022. Contains 358556 sequences. (Running on oeis4.)