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!)
 A110272 a(n) = Pell(n)^3. 5
 0, 1, 8, 125, 1728, 24389, 343000, 4826809, 67917312, 955671625, 13447314152, 189218084021, 2662500456000, 37464224551181, 527161643971768, 7417727240640625, 104375343011770368, 1468672529408250769 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS G. C. Greubel, Table of n, a(n) for n = 0..850 Toufik Mansour, A formula for the generating functions of powers of Horadam's sequence, Australas. J. Combin. 30 (2004) 207-212. Index entries for linear recurrences with constant coefficients, signature (12,30,-12,-1). FORMULA G.f.: x*(1-4*x-x^2) / ((1+2*x-x^2)*(1-14*x-x^2)). a(n) = 12*a(n-1) + 30*a(n-2) - 12*a(n-3) - a(n-4). a(n) = (Pell(3*n) - 3*(-1)^n*Pell(n))/8. MATHEMATICA Fibonacci[Range[0, 30], 2]^3 (* G. C. Greubel, Sep 17 2021 *) PROG (Magma) I:=[0, 1, 8, 125]; [n le 4 select I[n] else 12*Self(n-1) + 30*Self(n-2) -12*Self(n-3) - Self(n-4): n in [1..31]]; // G. C. Greubel, Sep 17 2021 (Sage) [lucas_number1(n, 2, -1)^3 for n in (0..30)] # G. C. Greubel, Sep 17 2021 CROSSREFS Cf. A000129, A079291, A213688. Sequence in context: A016791 A061103 A264143 * A215040 A033536 A355762 Adjacent sequences: A110269 A110270 A110271 * A110273 A110274 A110275 KEYWORD nonn,easy AUTHOR Paul Barry, Jul 18 2005 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 9 19:36 EST 2022. Contains 358703 sequences. (Running on oeis4.)