A068634 -id:A068634 - cp's OEIS frontend

A256756 a(n) = bitwise XOR of n and the reverse of n.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 25, 18, 39, 60, 45, 86, 67, 72, 22, 25, 0, 55, 50, 45, 36, 83, 78, 65, 29, 18, 55, 0, 9, 22, 27, 108, 117, 122, 44, 39, 50, 9, 0, 27, 110, 101, 100, 111, 55, 60, 45, 22, 27, 0, 121, 114, 111, 100, 58, 45, 36, 27, 110, 121

Offset: 0

Alois P. Heinz, Apr 09 2015

Alois P. Heinz, Table of n, a(n) for n = 0..10000
Wikipedia, Bitwise operation

Cf. A003987, A004086, A055483, A056964, A056965, A061205, A068634, A175919, A256754, A256755.

a:= n-> Bits[Xor](n, (s-> parse(cat(s[-i]$i=1..length(s))))(""||n)):
seq(a(n), n=0..80);

Table[BitXor[n,FromDigits[Reverse[IntegerDigits[n]]]],{n,0,65}] (* Ivan N. Ianakiev, Apr 10 2015 *)

a(n) = bitxor(n, subst(Polrev(digits(n)), x, 10)); \\ Michel Marcus, Apr 10 2015

a(n) = A003987(n, A004086(n)).

A256754 a(n) = bitwise AND of n and the reverse of n.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 11, 4, 13, 8, 3, 16, 1, 16, 19, 0, 4, 22, 0, 8, 16, 26, 8, 16, 28, 2, 13, 0, 33, 34, 33, 36, 1, 2, 5, 0, 8, 8, 34, 44, 36, 0, 10, 16, 16, 0, 3, 16, 33, 36, 55, 0, 9, 16, 27, 4, 16, 26, 36, 0, 0, 66, 64, 68, 64, 6, 1, 8, 1, 10

Offset: 0

Alois P. Heinz, Apr 09 2015

Alois P. Heinz, Table of n, a(n) for n = 0..10000
Wikipedia, Bitwise operation

Cf. A004086, A004198, A055483, A056964, A056965, A061205, A068634, A256755, A256756.

a:= n-> Bits[And](n, (s-> parse(cat(s[-i]$i=1..length(s))))(""||n)):
seq(a(n), n=0..80);

Table[BitAnd[n,FromDigits[Reverse[IntegerDigits[n]]]],{n,0,74}] (* Ivan N. Ianakiev, Apr 10 2015 *)

a(n) = bitand(n, subst(Polrev(digits(n)), x, 10)); \\ Michel Marcus, Apr 10 2015

a(n) = A004198(n,A004086(n)).

A256755 a(n) = bitwise OR of n and the reverse of n.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 29, 31, 47, 63, 61, 87, 83, 91, 22, 29, 22, 55, 58, 61, 62, 91, 94, 93, 31, 31, 55, 33, 43, 55, 63, 109, 119, 127, 44, 47, 58, 43, 44, 63, 110, 111, 116, 127, 55, 63, 61, 55, 63, 55, 121, 123, 127, 127, 62, 61, 62, 63, 110

Offset: 0

Alois P. Heinz, Apr 09 2015

Alois P. Heinz, Table of n, a(n) for n = 0..10000
Wikipedia, Bitwise operation

Cf. A003986, A004086, A055483, A056964, A056965, A061205, A068634, A256754, A256756.

a:= n-> Bits[Or](n, (s-> parse(cat(s[-i]$i=1..length(s))))(""||n)):
seq(a(n), n=0..80);

Table[BitOr[n,FromDigits[Reverse[IntegerDigits[n]]]],{n,0,64}] (* Ivan N. Ianakiev, Apr 10 2015 *)

a(n) = bitor(n, subst(Polrev(digits(n)), x, 10)); \\ Michel Marcus, Apr 10 2015

a(n) = A003986(n,A004086(n)).

A326302 a(n) = lcm(n, r(n)) where r(n) = A030101(n) corresponds to the binary reversal of n.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 143, 12, 143, 14, 15, 16, 17, 18, 475, 20, 21, 286, 667, 24, 475, 286, 27, 28, 667, 30, 31, 32, 33, 34, 245, 36, 1517, 950, 741, 40, 1517, 42, 2279, 572, 45, 1334, 2867, 48, 245, 950, 51, 572, 2279, 54, 3245, 56, 741, 1334, 3245

Offset: 0

Rémy Sigrist, Oct 17 2019

			For n = 35:
- the binary reversal of 35 ("100011" in binary) is 49 ("110001" in binary),
- hence a(35) = lcm(35, 49) = lcm(5*7, 7^2) = 5*7^2 = 245.

Rémy Sigrist, Table of n, a(n) for n = 0..8192

Cf. A030101, A057890 (fixed points), A161825 (GCD variant), A068634 (decimal variant).

Cf. A062383.

f:= proc(n) local L,j;
  L:= convert(n,base,2);
  ilcm(n, add(2^(j-1)*L[-j],j=1..nops(L)))
end proc:
map(f, [$0..100]);

a(n, base=2) = lcm(n, fromdigits(Vecrev(digits(n, base)), base))

a(n) >= n with equality iff n belongs to A057890.

a(n) < A062383(n)*n. - Robert Israel, Oct 17 2019

cp's OEIS Frontend

A256756 a(n) = bitwise XOR of n and the reverse of n.

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A256754 a(n) = bitwise AND of n and the reverse of n.

Views

Author

Keywords

Links

Crossrefs

Programs

Maple

Mathematica

PARI

Formula

A256755 a(n) = bitwise OR of n and the reverse of n.

Views

Author

Keywords

Links

Crossrefs

Programs

Maple

Mathematica

PARI

Formula

A326302 a(n) = lcm(n, r(n)) where r(n) = A030101(n) corresponds to the binary reversal of n.

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Maple

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