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 A265903 Square array read by descending antidiagonals: A(1,k) = A188163(k), and for n > 1, A(n,k) = A087686(1+A(n-1,k)). 17
 1, 3, 2, 5, 7, 4, 6, 12, 15, 8, 9, 14, 27, 31, 16, 10, 21, 30, 58, 63, 32, 11, 24, 48, 62, 121, 127, 64, 13, 26, 54, 106, 126, 248, 255, 128, 17, 29, 57, 116, 227, 254, 503, 511, 256, 18, 38, 61, 120, 242, 475, 510, 1014, 1023, 512, 19, 42, 86, 125, 247, 496, 978, 1022, 2037, 2047, 1024, 20, 45, 96, 192, 253, 502, 1006, 1992, 2046, 4084, 4095, 2048 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Square array A(n,k) [where n is row and k is column] is read by descending antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. For n >= 3, each row n lists the numbers that appear n times in A004001. See also A051135. LINKS Antti Karttunen, Table of n, a(n) for n = 1..210; the first 20 antidiagonals of array FORMULA For the first row n=1, A(1,k) = A188163(k), for rows n > 1, A(n,k) = A087686(1+A(n-1,k)). EXAMPLE The top left corner of the array: 1, 3, 5, 6, 9, 10, 11, 13, 17, 18, 19 2, 7, 12, 14, 21, 24, 26, 29, 38, 42, 45 4, 15, 27, 30, 48, 54, 57, 61, 86, 96, 102 8, 31, 58, 62, 106, 116, 120, 125, 192, 212, 222 16, 63, 121, 126, 227, 242, 247, 253, 419, 454, 469 32, 127, 248, 254, 475, 496, 502, 509, 894, 950, 971 64, 255, 503, 510, 978, 1006, 1013, 1021, 1872, 1956, 1984 128, 511, 1014, 1022, 1992, 2028, 2036, 2045, 3864, 3984, 4020 256, 1023, 2037, 2046, 4029, 4074, 4083, 4093, 7893, 8058, 8103 512, 2047, 4084, 4094, 8113, 8168, 8178, 8189, 16006, 16226, 16281 1024, 4095, 8179, 8190, 16292, 16358, 16369, 16381, 32298, 32584, 32650 ... PROG (Scheme) (define (A265903 n) (A265903bi (A002260 n) (A004736 n))) (define (A265903bi row col) (if (= 1 row) (A188163 col) (A087686 (+ 1 (A265903bi (- row 1) col))))) CROSSREFS Inverse permutation: A267104. Transpose: A265901. Row 1: A188163. Row 2: A266109. Row 3: A267103. For the known and suspected columns, see the rows listed for transposed array A265901. Cf. A004001, A051135, A087686. Cf. A265900 (main diagonal), A265909 (submain diagonal). Cf. A162598 (column index of n in array), A265332 (row index of n in array). Cf. also permutations A267111, A267112. Sequence in context: A208613 A209584 A209140 * A345420 A006369 A097284 Adjacent sequences: A265900 A265901 A265902 * A265904 A265905 A265906 KEYWORD nonn,tabl AUTHOR Antti Karttunen, Dec 18 2015 STATUS approved

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Last modified January 29 23:01 EST 2023. Contains 359939 sequences. (Running on oeis4.)