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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

N. J. A. Sloane.

EXTENSIONS

a(44)-a(50) from Alex Ratushnyak, Jan 04 2014

STATUS

approved

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Last modified May 25 19:28 EDT 2017. Contains 287059 sequences.