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 A140900 A nonnegative integer n is included if the binary representation of n and the digit-reversal (with leading 0's) of the binary representation of n do not have any 1's in the same position. 5
 0, 2, 4, 8, 10, 12, 16, 18, 24, 32, 34, 36, 38, 40, 42, 48, 52, 56, 64, 66, 68, 70, 80, 82, 96, 100, 112, 128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 150, 160, 162, 168, 170, 176, 178, 192, 196, 200, 204, 208, 212, 224, 232, 240, 256, 258, 260, 262, 264 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS All terms of this sequence are even. Number of terms less than or equal to 10^n: 1, 5, 26, 162, 1045, 5976, 38980, 249229, 1416583, 9381238, ..., . - Robert G. Wilson v, Aug 04 2008 Number of terms < 2^k: 1, 2, 3, 6, 18, 27, 54, 81,... (A038754). - T. D. Noe, Apr 09 2009 LINKS T. D. Noe, Table of n, a(n) for n=1..1000 EXAMPLE 36 in binary is 100100. The digit-reversal (with leading 0's) of this is 001001. These binary representations have no 1's in the same location (i.e., they can be added in binary without any carries). So 36 is in this sequence. MATHEMATICA fQ[n_] := Block[{id = IntegerDigits[n, 2]}, Max@ Union[id + Reverse@ id] < 2]; Select[2 Range[0, 134], fQ@# &] (* Robert G. Wilson v, Aug 04 2008 *) PROG (PARI) is(n) = my (b=if (n, binary(n), [0])); vecmax(b+Vecrev(b))<=1 \\ Rémy Sigrist, Jun 11 2022 CROSSREFS A035928 is a subsequence. Sequence in context: A346502 A321580 A224694 * A166936 A166245 A276623 Adjacent sequences: A140897 A140898 A140899 * A140901 A140902 A140903 KEYWORD base,nonn AUTHOR Leroy Quet, Jul 24 2008 EXTENSIONS More terms from Robert G. Wilson v, Aug 04 2008 STATUS approved

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Last modified July 18 16:16 EDT 2024. Contains 374388 sequences. (Running on oeis4.)