A020707 Pisot sequences E(4,8), L(4,8), P(4,8), T(4,8).

4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, 2147483648, 4294967296, 8589934592

Offset

0,1

Comments

Subsequence of A051916. - Reinhard Zumkeller, Mar 20 2010

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..238

Tanya Khovanova, Recursive Sequences

Index to divisibility sequences

Index entries for linear recurrences with constant coefficients, signature (2).

Formula

a(n) = 2^(n+2).

a(n) = 2*a(n-1).

G.f.: 4/(1-2*x). - Philippe Deléham, Nov 23 2008

E.g.f.: 4*exp(2*x). - Stefano Spezia, May 15 2021

Mathematica

2^(Range[0, 50] + 2) (* Vladimir Joseph Stephan Orlovsky, Jun 09 2011 *)

Prog

(Magma) [2^(n+2): n in [0..40]]; // Vincenzo Librandi, Apr 28 2011
(PARI) a(n)=4<<n \\ Charles R Greathouse IV, Apr 08 2012

Crossrefs

Subsequence of A000079. See A008776 for definitions of Pisot sequences.

Cf. A051916.

Sequence in context: A373969 A046055 A186949 * A151821 A147639 A049934

Adjacent sequences: A020704 A020705 A020706 * A020708 A020709 A020710

Keyword

nonn,easy

Author

David W. Wilson

Status

approved