login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A171496 a(n) = 6*a(n-1) - 8*a(n-2) for n > 1; a(0) = 6, a(1) = 28. 3
6, 28, 120, 496, 2016, 8128, 32640, 130816, 523776, 2096128, 8386560, 33550336, 134209536, 536854528, 2147450880, 8589869056, 34359607296, 137438691328, 549755289600, 2199022206976, 8796090925056, 35184367894528 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

a(n) = A171476(n+1) = A006516(n+2).

a(n+1) - a(n) = A010036(n+2).

Binomial transform of A171495; second binomial transform of A171494; third binomial transform of A010726.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (6, -8).

FORMULA

a(n) = 8*4^n - 2*2^n.

G.f.: 2*(3-4*x)/((1-2*x)*(1-4*x)).

a(n) = 4*a(n-1)+2^(n+1) (with a(0)=6). - Vincenzo Librandi, Dec 04 2010

MATHEMATICA

LinearRecurrence[{6, -8}, {6, 28}, 30] (* Harvey P. Dale, Dec 21 2014 *)

PROG

(PARI) {m=22; v=concat([6, 28], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-8*v[n-2]); v}

(MAGMA) [8*4^n-2*2^n: n in [0..30]]; // Vincenzo Librandi, Jul 18 2011

CROSSREFS

Equals 2*A171499.

Cf. A171476, A006516, A010036, A171494, A171495, A010726, A171472, A171473.

Sequence in context: A065997 A006516 A171476 * A330532 A037131 A292485

Adjacent sequences:  A171493 A171494 A171495 * A171497 A171498 A171499

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Dec 10 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 18 23:10 EDT 2021. Contains 345125 sequences. (Running on oeis4.)