A292041 - OEIS

A292041

a(n) = floor(c^n) where c = (2^(1/3)-1)^(-2) = 14.801887...(n > 0).

14, 219, 3243, 48002, 710534, 10517258, 155675283, 2304288003, 34107811455, 504859983098, 7472880600122, 110612736864003, 1637277271142775, 24234793737149739, 358720686980681762, 5309743200769920002, 78594220744343904494, 1163342802249829489179

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OFFSET

1,1

COMMENTS

All the numbers in this sequence are composites. The sequence was discovered by M. N. Huxley and published in the paper by Baker and Harman.

Each term == 2 or 3 (mod 6). - Robert Israel, Sep 08 2017

LINKS

Robert Israel, Table of n, a(n) for n = 1..853

Roger C. Baker and Glyn Harman, Primes of the form [c^p], Mathematische Zeitschrift, Vol. 221, No. 1 (1996), pp. 73-81.

Eric Weisstein's World of Mathematics, Primefree Sequence.

MAPLE

Digits:= 1000:

c:= (2^(1/3)-1)^(-2):

seq(floor(c^n), n=1..50); # Robert Israel, Sep 08 2017

MATHEMATICA

c = (2^(1/3) - 1)^(-2); Table[Floor[c^n], {n, 1, 10}]

PROG

(PARI) a(n) = floor(1/(2^(1/3)-1)^(2*n)); \\ Altug Alkan, Sep 08 2017

CROSSREFS

Sequence in context: A353146 A113894 A225315 * A319114 A145269 A221582

Adjacent sequences: A292038 A292039 A292040 * A292042 A292043 A292044

KEYWORD

nonn

AUTHOR

Amiram Eldar, Sep 08 2017

STATUS

approved