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URL: https://oeis.org/A383345

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A383345
Number of uniquely solveable n X 2 nonograms (hanjie).
3
1, 4, 14, 52, 210, 816, 3206, 12536, 48962, 191226, 746456, 2913544, 11371040, 44376798, 173181564, 675834086, 2637392942, 10292179494, 40164144690, 156736057740, 611644171812, 2386868430698, 9314465669046
OFFSET
0,2
COMMENTS
In this game there is an n X 2 grid where each square may or may not be filled. Each column and each row is labeled by the length of each successive block of filled squares, but without indication of the number of unfilled squares in between. The object is to determine which squares are filled.
The only ambiguous row hint is 1, which has the same solutions regardless of whether black or white squares are counted. So this is also the number of n X 2 "yesnograms".
LINKS
Bertram Felgenhauer, Counting Nonograms.
Wikipedia, Nonogram.
EXAMPLE
a(2) = 16-2 because out of the possible 2^(2*2) grids, only 10/01 and 01/10 have the same row and column clues.
CROSSREFS
Column m=2 of A384764. Also column m=2 of A385862 (n X m yesnograms).
Cf. A242876.
Sequence in context: A129997 A308023 A149489 * A125783 A090319 A295518
KEYWORD
nonn,hard
AUTHOR
Bertram Felgenhauer, Jun 11 2025
STATUS
approved