A140300 a(n) = 1024^n.

1, 1024, 1048576, 1073741824, 1099511627776, 1125899906842624, 1152921504606846976, 1180591620717411303424, 1208925819614629174706176, 1237940039285380274899124224, 1267650600228229401496703205376, 1298074214633706907132624082305024

Offset

0,2

Comments

First bisection of A009976.

From Ed Pegg Jr, Apr 23 2026: (Start)

1024^3 bytes is a gibibyte within IEC binary prefixes.

For exponents 1 to 10: kibi, mebi, gibi, tebi, pebi, exbi, zebi, yobi, robi, quebi.

Corresponding to: kilo, mega, giga, tera, peta, exa, zetta, yotta, ronna, quetta. (End)

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Wikipedia, Binary prefix.

Index entries for linear recurrences with constant coefficients, signature (1024).

Formula

a(n) = 2^(10*n).

G.f.: 1/(1-1024*x). - L. Edson Jeffery, Jul 03 2012

a(m*n) = a(n)^m; a(n+m) = a(n)*a(m). - Bruno Berselli, Mar 30 2017

From Elmo R. Oliveira, Aug 30 2024: (Start)

E.g.f.: exp(1024*x).

a(n) = 1024*a(n-1) for n > 0.

a(n) = A009976(n)^2. (End)

Mathematica

1024^Range[0, 10] (* Ed Pegg Jr, Apr 23 2026 *)

Prog

(Magma) [1024^n: n in [0..15]] ; // Vincenzo Librandi, Aug 09 2011
(PARI) A140300(n)=1<<(10*n) \\ M. F. Hasler, Apr 23 2026

Crossrefs

Cf. A009976.

Cf. A145442 (decimal prefixes).

Sequence in context: A223804 A223582 A031155 * A223355 A222142 A185564

Adjacent sequences: A140297 A140298 A140299 * A140301 A140302 A140303

Keyword

nonn,easy,changed

Author

Paul Curtz, May 27 2008

Status

approved