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A110272 Pell(n)^3. 4
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

REFERENCES

T. Mansour, A formula for the generating functions of powers of Horadam's sequence, Australas. J. Combin. 30 (2004) 207-212

LINKS

Table of n, a(n) for n=0..17.

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(3n)/8 - 3*(-1)^n*Pell(n)/8.

CROSSREFS

Cf. A000129, A079291, A213688.

Sequence in context: A016791 A061103 A264143 * A215040 A033536 A215793

Adjacent sequences:  A110269 A110270 A110271 * A110273 A110274 A110275

KEYWORD

nonn,easy

AUTHOR

Paul Barry, Jul 18 2005

STATUS

approved

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Last modified March 19 13:29 EDT 2019. Contains 321330 sequences. (Running on oeis4.)