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A100525 Bisection of A048654. 7
4, 22, 128, 746, 4348, 25342, 147704, 860882, 5017588, 29244646, 170450288, 993457082, 5790292204, 33748296142, 196699484648, 1146448611746, 6681992185828, 38945504503222, 226991034833504, 1323000704497802, 7711013192153308, 44943078448422046 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (6,-1).

FORMULA

G.f.: (4-2x)/(1-6x+x^2). - Philippe Deléham, Nov 17 2008

a(0)=4, a(1)=22, a(n) = 6*a(n-1)-a(n-2) for n>1. - Philippe Deléham, Sep 19 2009

a(n) = 2*A038725(n+1). - R. J. Mathar, Sep 27 2014

a(n) = ((3-2*sqrt(2))^n*(-5+4*sqrt(2))+(3+2*sqrt(2))^n*(5+4*sqrt(2)))/(2*sqrt(2)). - Colin Barker, Oct 13 2015

MATHEMATICA

CoefficientList[Series[(4 - 2 x)/(1 - 6 x + x^2), {x, 0, 33}], x] (* Vincenzo Librandi, Oct 13 2015 *)

LinearRecurrence[{6, -1}, {4, 22}, 30] (* Harvey P. Dale, Mar 25 2016 *)

PROG

(PARI) Vec((4-2*x)/(1-6*x+x^2) + O(x^40)) \\ Colin Barker, Oct 13 2015

(MAGMA) I:=[4, 22, 128]; [n le 3 select I[n] else 6*Self(n-1)-Self(n-2): n in [1..40]]; // Vincenzo Librandi, Oct 13 2015

CROSSREFS

Cf. A048654, A038761.

Sequence in context: A121187 A011789 A047039 * A199033 A086682 A261399

Adjacent sequences:  A100522 A100523 A100524 * A100526 A100527 A100528

KEYWORD

easy,nonn

AUTHOR

Lambert Klasen (lambert.klasen(AT)gmx.de), Nov 24 2004

STATUS

approved

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Last modified July 22 12:02 EDT 2017. Contains 289669 sequences.