A253582 a(n) = A252867(n) OR A252867(n+1).

1, 3, 7, 15, 14, 7, 15, 29, 23, 15, 27, 26, 15, 31, 57, 47, 46, 43, 47, 55, 59, 56, 29, 61, 63, 95, 114, 54, 55, 63, 93, 87, 63, 107, 87, 63, 110, 93, 63, 110, 95, 87, 90, 95, 119, 123, 125, 119, 111, 125, 127, 175, 159, 127, 227, 159, 127, 230, 159, 127

Offset: 0

Author

Reinhard Zumkeller, Jan 12 2015

Keywords

• nonn

Comments

Binary coded union of the two sets, which are coded by A252867(n) and by A252867(n+1);

a(n) = A252867(n) + A252867(n+1), as A252867(n) AND A252867(n+1) = 0 by definition of A252867.

Examples

			.   n | A252867(n) |   binary |   a(n) |   binary
. ----+------------+----------+--------+----------
.   0 |          0 |        0 |      1 |        1
.   1 |          1 |        1 |      3 |       11
.   2 |          2 |       10 |      7 |      111
.   3 |          5 |      101 |     15 |     1111
.   4 |         10 |     1010 |     14 |     1110
.   5 |          4 |      100 |      7 |      111
.   6 |          3 |       11 |     15 |     1111
.   7 |         12 |     1100 |     29 |    11101
.   8 |         17 |    10001 |     23 |    10111
.   9 |          6 |      110 |     15 |     1111
.  10 |          9 |     1001 |     27 |    11011
.  11 |         18 |    10010 |     26 |    11010
.  12 |          8 |     1000 |     15 |     1111
.  13 |          7 |      111 |     31 |    11111
.  14 |         24 |    11000 |     57 |   111001
.  15 |         33 |   100001 |     47 |   101111
.  16 |         14 |     1110 |     46 |   101110
.  17 |         32 |   100000 |     43 |   101011
.  18 |         11 |     1011 |     47 |   101111
.  19 |         36 |   100100 |     55 |   110111
.  20 |         19 |    10011 |     59 |   111011
.  21 |         40 |   101000 |     56 |   111000
.  22 |         16 |    10000 |     29 |    11101
.  23 |         13 |     1101 |     61 |   111101
.  24 |         48 |   110000 |     63 |   111111
.  25 |         15 |     1111 |     95 |  1011111
.  26 |         80 |  1010000 |    114 |  1110010
.  27 |         34 |   100010 |     54 |   110110
.  28 |         20 |    10100 |     55 |   110111
.  29 |         35 |   100011 |     63 |   111111
.  30 |         28 |    11100 |     93 |  1011101
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A252867, A253581, A007088.

Programs

Haskell

import Data.Bits ((.|.))
a253582 n = a253582_list !! n
a253582_list = zipWith (.|.) a252867_list $ tail a252867_list :: [Int]
a253582_list' = zipWith (+) a252867_list $ tail a252867_list