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A364772
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Square array A(n, k), n, k > 0, read and filled in the greedy way by downwards antidiagonals with distinct positive integers such that for any v > 0, the value 2*v appears in the same row as the value v, and the value 2*v + 1 appears in the same column as the value v.
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2
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1, 2, 3, 4, 5, 7, 8, 6, 11, 15, 16, 10, 9, 23, 31, 32, 12, 14, 13, 47, 63, 64, 20, 18, 17, 19, 95, 127, 128, 24, 22, 25, 21, 27, 191, 255, 256, 40, 28, 26, 33, 29, 39, 383, 511, 512, 48, 36, 30, 38, 37, 35, 55, 767, 1023, 1024, 80, 44, 34, 42, 41, 51, 43, 79, 1535, 2047
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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As a flat sequence, this is a permutation of the positive integers with inverse A364775.
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LINKS
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FORMULA
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A(1, k) = 2^(k-1).
A(n, 1) = 2^n - 1.
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EXAMPLE
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Array A(n, k) begins:
n\k| 1 2 3 4 5 6 7 8 9 10 11 12
---+--------------------------------------------------------------
1| 1 2 4 8 16 32 64 128 256 512 1024 2048
2| 3 5 6 10 12 20 24 40 48 80 96 160
3| 7 11 9 14 18 22 28 36 44 56 72 88
4| 15 23 13 17 25 26 30 34 46 50 52 60
5| 31 47 19 21 33 38 42 62 66 76 84 94
6| 63 95 27 29 37 41 49 54 58 74 82 98
7| 127 191 39 35 51 45 57 69 70 78 90 102
8| 255 383 55 43 67 53 61 73 86 101 105 106
9| 511 767 79 59 75 65 85 81 89 113 118 121
10| 1023 1535 111 71 103 77 99 109 93 142 145 154
11| 2047 3071 159 87 135 83 115 125 97 149 165 166
12| 4095 6143 223 119 151 91 123 139 117 153 169 177
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PROG
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(PARI) See Links section.
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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