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 A255557 Square array A(row,col): A(1,1) = 1, A(1,col) = A055938(col-1), and for row > 1: A(row,col) = A005187(1+A(row-1,col)). 9
 1, 2, 3, 5, 4, 7, 6, 10, 8, 15, 9, 11, 19, 16, 31, 12, 18, 22, 38, 32, 63, 13, 23, 35, 42, 74, 64, 127, 14, 25, 46, 70, 82, 146, 128, 255, 17, 26, 49, 89, 138, 162, 290, 256, 511, 20, 34, 50, 97, 176, 274, 322, 578, 512, 1023, 21, 39, 67, 98, 193, 350, 546, 642, 1154, 1024, 2047, 24, 41, 78, 134, 194, 385, 695, 1090, 1282, 2306, 2048, 4095 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The array is read by antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. This is transpose of array A255555, see comments and links given there. LINKS FORMULA A(row,col): A(1,1) = 1, and for the rest of topmost row: A(1,col) = A055938(col-1), and for any row > 1: A(row,col) = A005187(1+A(row-1,col)). EXAMPLE The top left corner of the array:      1,    2,    5,    6,    9,   12,   13,   14,   17,   20,    21,    24      3,    4,   10,   11,   18,   23,   25,   26,   34,   39,    41,    47      7,    8,   19,   22,   35,   46,   49,   50,   67,   78,    81,    94     15,   16,   38,   42,   70,   89,   97,   98,  134,  153,   161,   184     31,   32,   74,   82,  138,  176,  193,  194,  266,  304,   321,   365     63,   64,  146,  162,  274,  350,  385,  386,  530,  606,   641,   726    127,  128,  290,  322,  546,  695,  769,  770, 1058, 1207,  1281,  1447    255,  256,  578,  642, 1090, 1387, 1537, 1538, 2114, 2411,  2561,  2891    511,  512, 1154, 1282, 2178, 2770, 3073, 3074, 4226, 4818,  5121,  5778   1023, 1024, 2306, 2562, 4354, 5535, 6145, 6146, 8450, 9631, 10241, 11551   ... PROG (Scheme) (define (A255557 n) (A255555bi (A004736 n) (A002260 n))) (define (A255555bi row col) (if (= 1 col) (if (= 1 row) 1 (A055938 (- row 1))) (A005187 (+ 1 (A255555bi row (- col 1)))))) CROSSREFS Inverse permutation: A255558. Transpose: A255555. Column 1: A000225. Cf. A005187, A055938. Cf. A255559 (row index), A255560 (column index). Cf. also A254107, A256997 (variants). Sequence in context: A265888 A095721 A072061 * A261102 A101212 A232641 Adjacent sequences:  A255554 A255555 A255556 * A255558 A255559 A255560 KEYWORD nonn,tabl AUTHOR Antti Karttunen, Apr 13 2015 STATUS approved

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Last modified February 22 10:25 EST 2019. Contains 320391 sequences. (Running on oeis4.)