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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 5 15:27 EST 2022. Contains 358588 sequences. (Running on oeis4.)