A094038 - OEIS

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A094038

Binomial transform of (Pell(-n)+Pell(n))/2.

0, 1, 2, 8, 24, 84, 280, 960, 3264, 11152, 38048, 129920, 443520, 1514304, 5170048, 17651712, 60266496, 205762816, 702517760, 2398545920, 8189147136, 27959497728, 95459694592, 325919784960, 1112759746560, 3799199420416

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OFFSET

0,3

COMMENTS

Also binomial transform of Pell(n)(1-(-1)^n)/2.

a(n+2) = A088013(n+1) + A007070(n) - Creighton Dement, Oct 23 2004

LINKS

Table of n, a(n) for n=0..25.

Index entries for linear recurrences with constant coefficients, signature (4,0,-8,4).

FORMULA

G.f.: x(1-2x)/((1-2x^2)(1-4x+2x^2));

a(n)=(sqrt(2)/8)((2+sqrt(2))^n-(2-sqrt(2))^n+(sqrt(2))^n-(-sqrt(2))^n).

MATHEMATICA

LinearRecurrence[{4, 0, -8, 4}, {0, 1, 2, 8}, 30] (* Harvey P. Dale, Jan 01 2016 *)

CROSSREFS

Cf. A000129, A094039, A051450.

Sequence in context: A085449 A127362 A133443 * A007223 A106189 A106183

Adjacent sequences: A094035 A094036 A094037 * A094039 A094040 A094041

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 23 2004

STATUS

approved