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 A352431 Number T(n,k) of tilings of a 2k X n rectangle using dominoes and 2 X 2 tiles. 4
 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 11, 5, 1, 1, 1, 43, 29, 11, 1, 1, 1, 171, 173, 165, 21, 1, 1, 1, 683, 1037, 2773, 593, 43, 1, 1, 1, 2731, 6221, 48605, 17937, 2773, 85, 1, 1, 1, 10923, 37325, 864901, 550969, 205879, 11093, 171, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS Tiling algorithm, see A351322. The table is read by descending antidiagonals. If read by columns or rows: T(n,1) = A001045(n+1); T(3,k) = A083066(k); T(n,2) = A352432(n); T(5,k) = A352433(k). LINKS Andrew Howroyd, Table of n, a(n) for n = 0..860 (first 41 antidiagonals). Gerhard Kirchner, Maxima code EXAMPLE Table T(n,k) begins: n\k 0 1 2 3 4 ----------------------------------- 0: 1 1 1 1 1 1: 1 1 1 1 1 2: 1 3 11 43 171 3: 1 5 29 173 1037 4: 1 11 165 2773 48605 5: 1 21 593 17937 550969 6: 1 43 2773 205879 16231655 7: 1 85 11093 1615993 242436361 8: 1 171 48605 16231655 5811552169 PROG (Maxima) See "Maxima code" link. CROSSREFS Cf. A351322, A001045, A083066, A352432, A352433. Sequence in context: A064085 A256692 A228637 * A362783 A152795 A338817 Adjacent sequences: A352428 A352429 A352430 * A352432 A352433 A352434 KEYWORD nonn,tabl AUTHOR Gerhard Kirchner, Mar 17 2022 STATUS approved

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Last modified September 9 10:46 EDT 2024. Contains 375764 sequences. (Running on oeis4.)