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 A370427 a(n) is the least k >= 0 such that n OR k is a binary palindrome (where OR denotes the bitwise OR operator). 2
 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 5, 4, 3, 2, 1, 0, 1, 0, 9, 8, 1, 0, 9, 8, 3, 2, 1, 0, 3, 2, 1, 0, 1, 0, 17, 16, 9, 8, 25, 24, 5, 4, 21, 20, 1, 0, 17, 16, 3, 2, 1, 0, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 0, 33, 32, 17, 16, 49, 48, 1, 0, 33, 32, 17, 16, 49, 48 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,11 COMMENTS The binary expansions of n and a(n) have no common 1's. LINKS Paolo Xausa, Table of n, a(n) for n = 0..16383 Rémy Sigrist, Scatterplot of (x, y) such that x OR y is a binary palindrome and x, y < 2^10 Index entries for sequences related to binary expansion of n Index entries for sequences related to palindromes FORMULA n AND a(n) = 0 (where AND denotes the bitwise AND operator). a(n) = A030101(n) - (n AND A030101(n)). a(n) = A030101(n) - A175297(n) (for any n > 0). a(n) = 0 iff n belongs to A006995. EXAMPLE The first terms, alongside the corresponding binary expansions, are: n a(n) bin(n) bin(a(n)) bin(n OR a(n)) -- ---- ------ --------- -------------- 0 0 0 0 0 1 0 1 0 1 2 1 10 1 11 3 0 11 0 11 4 1 100 1 101 5 0 101 0 101 6 1 110 1 111 7 0 111 0 111 8 1 1000 1 1001 9 0 1001 0 1001 10 5 1010 101 1111 11 4 1011 100 1111 12 3 1100 11 1111 13 2 1101 10 1111 14 1 1110 1 1111 15 0 1111 0 1111 MATHEMATICA A370427[n_] := With[{r = IntegerReverse[n, 2]}, r - BitAnd[n, r]]; Array[A370427, 2^7, 0] (* Paolo Xausa, Feb 20 2024 *) PROG (PARI) a(n) = my (r = fromdigits(Vecrev(binary(n)), 2)); r - bitand(n, r) CROSSREFS Cf. A006995, A030101, A175297, A344220 (XOR variant). Sequence in context: A073743 A021652 A360778 * A022961 A023447 A280916 Adjacent sequences: A370424 A370425 A370426 * A370428 A370429 A370430 KEYWORD nonn,base,easy,look AUTHOR Rémy Sigrist, Feb 18 2024 STATUS approved

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Last modified June 23 10:38 EDT 2024. Contains 373643 sequences. (Running on oeis4.)