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
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (4,0,-8,4).
Programs
-
Mathematica
LinearRecurrence[{4,0,-8,4},{0,1,2,8},30] (* Harvey P. Dale, Jan 01 2016 *)
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).
Comments