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 A017979 Powers of cube root of 2 rounded down. 23
 1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 12, 16, 20, 25, 32, 40, 50, 64, 80, 101, 128, 161, 203, 256, 322, 406, 512, 645, 812, 1024, 1290, 1625, 2048, 2580, 3250, 4096, 5160, 6501, 8192, 10321, 13003, 16384, 20642, 26007, 32768, 41285, 52015, 65536, 82570, 104031 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Rounding has no effect when n is a multiple of 3, because then obviously (2^(1/3))^n = 2^(n/3). - Alonso del Arte, Jan 04 2014 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..200 EXAMPLE a(2) = 1 because the cube root of 2 squared is 1.5874... a(3) = 2 because the cube root of 2 cubed is 2 exactly. a(4) = 2 because the cube root of 2 to the fourth power is 2.519842... MATHEMATICA Table[Floor[(2^(1/3))^n], {n, 0, 49}] (* Alonso del Arte, Jan 04 2014 *) PROG (MAGMA) [Floor(2^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 06 2014 CROSSREFS Cf. A017981, A002580. Sequences of the type: Powers of cube root of (k) rounded down: this sequence (k=2), A017982 (k=3), A017985 (k=4), A017988 (k=5), A017991 (k=6), A017994 (k=7), A018000 (k=9), A018003 (k=10), A018006 (k=11), A018009 (k=12), A018012 (k=13), A018015 (k=14), A018018 (k=15),  A018021 (k=16), A018024 (k=17), A018027 (k=18), A018030 (k=19), A018033 (k=20), A018036 (k=21), A018039 (k=22), A018042 (k=23), A018045 (k=24). Sequence in context: A258875 A179241 A157046 * A140881 A238708 A266751 Adjacent sequences:  A017976 A017977 A017978 * A017980 A017981 A017982 KEYWORD nonn AUTHOR EXTENSIONS a(44)-a(50) from Alex Ratushnyak, Jan 04 2014 STATUS approved

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