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A054238
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a(i,j) = bits of binary expansion of i interleaved with that of j.
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21
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0, 1, 2, 4, 3, 8, 5, 6, 9, 10, 16, 7, 12, 11, 32, 17, 18, 13, 14, 33, 34, 20, 19, 24, 15, 36, 35, 40, 21, 22, 25, 26, 37, 38, 41, 42, 64, 23, 28, 27, 48, 39, 44, 43, 128, 65, 66, 29, 30, 49, 50, 45, 46, 129, 130, 68, 67, 72, 31, 52, 51, 56, 47, 132, 131, 136, 69, 70, 73, 74
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Inverse of sequence A054239 considered as a permutation of the nonnegative integers.
Permutation of integers. Can be used as natural alternate number casting for pairs/tables (vs. usual diagonalization).
Table a(n,k), read by antidiagonals, defined by : a(n,k)=A000695(k)+2*A000695(n). - From DELEHAM Philippe, Oct 18 2011
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LINKS
| Index entries for sequences that are permutations of the natural numbers
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EXAMPLE
| a(5,6)=57 because .1.0.1 (5) merged with 1.1.0. (6) is 111001 (57).
The array starts in row n=0 with columns k>=0 as :
0...1...4...5..16..17..20..21...
2...3...6...7..18..19..22..23...
8...9..12..13..24..25..28..29...
10.11..14..15..26..27..30..31...
32.33..36..37..48..49..52..53...
34.35..38..39..50..51..54..55...
40.41..44..45..56..57..60..61...
42.43..46..47..58..59..62..63...
- From DELEHAM Philippe, Oct 18 2011
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CROSSREFS
| Cf. A000695.
Sequence in context: A048167 A135141 A098709 * A048679 A191729 A075378
Adjacent sequences: A054235 A054236 A054237 * A054239 A054240 A054241
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Marc LeBrun (mlb(AT)well.com), Feb 07 2000
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