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 A241957 Rectangular array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = 2^n*(2*k - 1) - 1, n,k >= 1. 4
 1, 3, 5, 7, 11, 9, 15, 23, 19, 13, 31, 47, 39, 27, 17, 63, 95, 79, 55, 35, 21, 127, 191, 159, 111, 71, 43, 25, 255, 383, 319, 223, 143, 87, 51, 29, 511, 767, 639, 447, 287, 175, 103, 59, 33, 1023, 1535, 1279, 895, 575, 351, 207, 119, 67, 37 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sequence is a permutation of the odd natural numbers, since A(n,k) = 2*A054582(n-1,k-1) - 1 and A054582 is a permutation of the natural numbers. For j a natural number, 2*j - 1 appears in row A001511(j) of A. This is the square array A075300 with the first row omitted. - Peter Bala, Feb 07 2017 LINKS Vincenzo Librandi, Rows n = 0..50, flattened Index entries for sequences related to 3x+1 (or Collatz) problem. FORMULA A(n,k) = 2*A054582(n-1,k-1) - 1. EXAMPLE Array begins: . 1 5 9 13 17 21 25 29 33 37 . 3 11 19 27 35 43 51 59 67 75 . 7 23 39 55 71 87 103 119 135 151 . 15 47 79 111 143 175 207 239 271 303 . 31 95 159 223 287 351 415 479 543 607 . 63 191 319 447 575 703 831 959 1087 1215 . 127 383 639 895 1151 1407 1663 1919 2175 2431 . 255 767 1279 1791 2303 2815 3327 3839 4351 4863 . 511 1535 2559 3583 4607 5631 6655 7679 8703 9727 . 1023 3071 5119 7167 9215 11263 13311 15359 17407 19455 MATHEMATICA (* Array: *) Grid[Table[2^n*(2*k - 1) - 1, {n, 10}, {k, 10}]] (* Array antidiagonals flattened: *) Flatten[Table[2^(n - k + 1)*(2*k - 1) - 1, {n, 10}, {k, n}]] CROSSREFS Cf. A016813, A017101 (rows 1 and 2). Cf. A000225, A083329, A153894, A086224, A052996, etc. (columns 1-5). Cf. A005408 (odd natural numbers), A054582. Cf. A075300. Sequence in context: A338842 A022457 A066066 * A112070 A208643 A123252 Adjacent sequences: A241954 A241955 A241956 * A241958 A241959 A241960 KEYWORD nonn,tabl,easy AUTHOR L. Edson Jeffery, Aug 09 2014 STATUS approved

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Last modified June 24 09:52 EDT 2024. Contains 373674 sequences. (Running on oeis4.)