The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

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