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A135153 Repeat Pell numbers A000129. 4
0, 0, 1, 1, 2, 2, 5, 5, 12, 12, 29, 29, 70, 70, 169, 169, 408, 408, 985, 985, 2378, 2378, 5741, 5741, 13860, 13860, 33461, 33461, 80782, 80782, 195025, 195025, 470832, 470832, 1136689, 1136689, 2744210, 2744210, 6625109, 6625109, 15994428, 15994428, 38613965 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

The binomial transform is 0, 0, 1, 4, 12, 32,... (n>=0), i.e. A135248 without one of the leading zeros. - R. J. Mathar, Jul 10 2019

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,2,0,1)

FORMULA

G.f.: x^2*(1+x)/(1-2*x^2-x^4). - Philippe Deléham, Feb 25 2014

a(n) = 2*a(n-2) + a(n-4), a(0) = a(1) = 0, a(2) = a(3) = 1. - Philippe Deléham, Feb 25 2014

MATHEMATICA

CoefficientList[Series[x^2 (1 + x)/(1 - 2 x^2 - x^4), {x, 0, 50}], x] (* Vincenzo Librandi, Mar 03 2014 *)

PROG

(MAGMA) I:=[0, 0, 1, 1]; [n le 4 select I[n] else 2*Self(n-2)+Self(n-4): n in [1..50]]; // Vincenzo Librandi, Mar 03 2014

CROSSREFS

Sequence in context: A184307 A032580 A002014 * A097896 A030223 A300436

Adjacent sequences:  A135150 A135151 A135152 * A135154 A135155 A135156

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Feb 14 2008

EXTENSIONS

Corrected and extended by Vincenzo Librandi, Mar 03 2014

STATUS

approved

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Last modified May 12 15:33 EDT 2021. Contains 343825 sequences. (Running on oeis4.)