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 A271710 Table T(n,k) = 2^n XOR 2^k read by antidiagonals, where XOR is the binary exclusive or operator. 2
 0, 3, 3, 5, 0, 5, 9, 6, 6, 9, 17, 10, 0, 10, 17, 33, 18, 12, 12, 18, 33, 65, 34, 20, 0, 20, 34, 65, 129, 66, 36, 24, 24, 36, 66, 129, 257, 130, 68, 40, 0, 40, 68, 130, 257, 513, 258, 132, 72, 48, 48, 72, 132, 258, 513, 1025, 514, 260, 136, 80, 0, 80, 136, 260 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS n > 1 is in this sequence if and only if it is in A018900. LINKS Peter Kagey, Table of n, a(n) for n = 0..10000 FORMULA T(n, k) = 0 if n = k. T(n, k) = A271709(n, k) if n != k. EXAMPLE a(0) = T(0, 0) = 2^0 XOR 2^0 = 0. a(1) = T(1, 0) = 2^1 XOR 2^0 = 3. 0, 3, 5, 9, 17, 33, 65, 129, 257, 513,1025, 3, 0, 6, 10, 18, 34, 66, 130, 258, 514,1026, 5, 6, 0, 12, 20, 36, 68, 132, 260, 516,1028, 9, 10, 12, 0, 24, 40, 72, 136, 264, 520,1032, 17, 18, 20, 24, 0, 48, 80, 144, 272, 528,1040, 33, 34, 36, 40, 48, 0, 96, 160, 288, 544,1056, 65, 66, 68, 72, 80, 96, 0, 192, 320, 576,1088, 129, 130, 132, 136, 144, 160, 192, 0, 384, 640,1152, 257, 258, 260, 264, 272, 288, 320, 384, 0, 768,1280, 513, 514, 516, 520, 528, 544, 576, 640, 768, 0,1536, 1025,1026,1028,1032,1040,1056,1088,1152,1280,1536, 0, MAPLE read("transforms") ; A271710 := proc(n, k) XORnos(2^n, 2^k) ; end proc: # R. J. Mathar, Apr 15 2016 MATHEMATICA Table[BitXor[2^(n - k), 2^k], {n, 0, 10}, {k, 0, n}] // Flatten (* Michael De Vlieger, Apr 12 2016 *) PROG (PARI) T(n, k) = bitxor(2^n, 2^k); matrix(10, 10, n, k, n--; k--; T(n, k)) \\ Michel Marcus, Apr 12 2016 CROSSREFS Cf. A271709. Sequence in context: A011445 A197137 A133456 * A246005 A103786 A067462 Adjacent sequences: A271707 A271708 A271709 * A271711 A271712 A271713 KEYWORD nonn,tabl,easy AUTHOR Peter Kagey, Apr 12 2016 STATUS approved

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Last modified April 14 10:04 EDT 2024. Contains 371657 sequences. (Running on oeis4.)