A082764 Trinomial transform of the Pell numbers (A000129).

1, 8, 73, 674, 6229, 57572, 532117, 4918166, 45456841, 420141248, 3883214593, 35891157194, 331729069789, 3066052597532, 28338422486797, 261921856685246, 2420849609444881, 22375043097652088, 206804483710406713

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (10,-7).

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

Adjacent sequences: A082761 A082762 A082763 * A082765 A082766 A082767

Keyword

easy,nonn

Author

Emanuele Munarini, May 21 2003

Status

approved