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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 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 MATHEMATICA Select[Range[400], BitXor[#, 11]==#-11&] (* or *) LinearRecurrence[{1, 1, -1}, {11, 15, 27}, 50] (* Harvey P. Dale, Jun 05 2021 *) PROG (Magma) XOR := func; 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: A343416 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 March 23 09:28 EDT 2023. Contains 361443 sequences. (Running on oeis4.)