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A214863 Numbers n such that n XOR 11 = n - 11. 2
11, 15, 27, 31, 43, 47, 59, 63, 75, 79, 91, 95, 107, 111, 123, 127, 139, 143, 155, 159, 171, 175, 187, 191, 203, 207, 219, 223, 235, 239, 251, 255, 267, 271, 283, 287, 299, 303, 315, 319, 331, 335, 347, 351, 363 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Links to sequences of the form n XOR m = n - m are found below with the value of m specified.

LINKS

Table of n, a(n) for n=1..45.

Index entries for linear recurrences with constant coefficients, signature (1,1,-1).

FORMULA

a(n)= 1+8*n-2*(-1)^n.

a(n)=A016825(n) + A168392(n) +  for n>0.

G.f. x*(11+4*x+x^2) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Mar 10 2013

PROG

(MAGMA)

XOR := func<a, b | Seqint([ (adigs[i] + bdigs[i]) mod 2 : i in [1..n]], 2)

       where adigs := Intseq(a, 2, n)

       where bdigs := Intseq(b, 2, n)

       where n := 1 + Ilog2(Max([a, b, 1]))>;

m:=11;

for n in [1 .. 500] do

      if (XOR(n, m) eq n-m) then n; end if;

end for;

CROSSREFS

Cf. A005408 (m=1), A042964 (m=2), A131098 (m=3), A047566 (m=4), A047550 (m=5), A047589 (m=6), A004771 (m=7), A115419 (m=8), A214865 (m=9), A214864 (m=10), A133894 (m=12), A125169 (m=15).

Cf. also A016825, A168392.

Sequence in context: A228205 A256498 A054280 * A094766 A009407 A009433

Adjacent sequences:  A214860 A214861 A214862 * A214864 A214865 A214866

KEYWORD

nonn,easy

AUTHOR

Brad Clardy, Mar 09 2013

STATUS

approved

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Last modified April 26 12:00 EDT 2019. Contains 322472 sequences. (Running on oeis4.)