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 A265345 Square array A(row,col): For row=0, A(0,col) = A265341(col), for row > 0, A(row,col) = A265342(A(row-1,col)). 10
 1, 3, 2, 7, 6, 4, 5, 10, 12, 8, 9, 22, 20, 24, 16, 21, 18, 28, 40, 48, 64, 13, 30, 36, 56, 80, 192, 32, 19, 26, 60, 72, 112, 160, 96, 184, 25, 14, 52, 120, 144, 224, 640, 552, 352, 11, 46, 76, 208, 240, 576, 448, 320, 1056, 704, 15, 58, 68, 136, 104, 480, 288, 1720, 1600, 2112, 1408 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Square array A(row,col) is read by downwards antidiagonals as: A(0,0), A(0,1), A(1,0), A(0,2), A(1,1), A(2,0), A(0,3), A(1,2), A(2,1), A(3,0), ... All the terms in the same column are either all divisible by 3, or none of them are. Reducing A265342 to its constituent sequences gives A265342(n) = A263273(2*A263273(n)). Iterating this function k times starting from n reduces to (because A263273 is an involution, so pairs of them are canceled) to A263273((2^k)*A263273(n)). LINKS FORMULA For row=0, A(0,col) = A265341(col), for row>0, A(row,col) = A265342(A(row-1,col)). A(row, col) = A263273((2^row) * A263273(A265341(col))). [The above reduces to this.] EXAMPLE The top left corner of the array:     1,    3,    7,    5,    9,   21,   13,   19,   25,   11,   15,    39, .     2,    6,   10,   22,   18,   30,   26,   14,   46,   58,   66,    78, .     4,   12,   20,   28,   36,   60,   52,   76,   68,   44,   84,   156, .     8,   24,   40,   56,   72,  120,  208,  136,   88,  232,  168,   624, .    16,   48,   80,  112,  144,  240,  104,  200,  496,  424,  336,   312, .    64,  192,  160,  224,  576,  480,  520,  256,  344,  608,  672,  1560, .    32,   96,  640,  448,  288, 1920, 1144,  512, 1984,  736, 1344,  3432, .   184,  552,  320, 1720, 1656,  960, 2072, 1024, 1376, 4384, 5160,  6216, .   352, 1056, 1600,  824, 3168, 4800, 3712, 6040, 5344, 2936, 2472, 11136, .   ... PROG (Scheme) (define (A265345 n) (A265345bi (A002262 (+ -1 n)) (A025581 (+ -1 n)))) ;; o=1. (define (A265345bi row col) (A263273 (* (A000079 row) (A263273 (A265341 col))))) ;; Faster than below. (define (A265345bi row col) (if (= 0 row) (A265341 col) (A265342 (A265345bi (- row 1) col)))) ;; row>=0, col>=0. CROSSREFS Inverse: A265346. Transpose: A265347. Leftmost column: A264980. Topmost row: A265341. Row index: A265330 (zero-based), A265331 (one-based). Column index: A265910 (zero-based), A265911 (one-based). Cf. also A265342. Related permutations: A263273, A265895. Sequence in context: A101307 A283997 A096899 * A154448 A099896 A160679 Adjacent sequences:  A265342 A265343 A265344 * A265346 A265347 A265348 KEYWORD nonn,tabl,base AUTHOR Antti Karttunen, Dec 18 2015 STATUS approved

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Last modified January 19 12:48 EST 2020. Contains 331049 sequences. (Running on oeis4.)