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A082764
Trinomial transform of the Pell numbers (A000129).
0
1, 8, 73, 674, 6229, 57572, 532117, 4918166, 45456841, 420141248, 3883214593, 35891157194, 331729069789, 3066052597532, 28338422486797, 261921856685246, 2420849609444881, 22375043097652088, 206804483710406713
OFFSET
0,2
FORMULA
a(n) = Sum[ Trinomial[n, k] Pell[k], {k, 0, 2n} ] where Trinomial[n, k] = trinomial coefficients (A027907)
G.f.: (-2x+1)/(7x^2-10x+1).
MATHEMATICA
CoefficientList[Series[(-2x+1)/(7x^2-10x+1), {x, 0, 20}], x] (* or *) LinearRecurrence[{10, -7}, {1, 8}, 20] (* Harvey P. Dale, Sep 16 2018 *)
CROSSREFS
Sequence in context: A014991 A015577 A293151 * A254150 A024104 A152429
KEYWORD
easy,nonn
AUTHOR
Emanuele Munarini, May 21 2003
STATUS
approved