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A094038 Binomial transform of (Pell(-n)+Pell(n))/2. 1
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 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

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

a(n+2) = A088013(n+1) + A007070(n) - Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Oct 23 2004

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).

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 (pbarry(AT)wit.ie), Apr 23 2004

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Last modified February 17 16:49 EST 2012. Contains 206058 sequences.