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A133038 Cubes of A000931. 0
1, 0, 0, 1, 0, 1, 1, 1, 8, 8, 27, 64, 125, 343, 729, 1728, 4096, 9261, 21952, 50653, 117649, 274625, 636056, 1481544, 3442951, 8000000, 18609625, 43243551, 100544625, 233744896, 543338496, 1263214441, 2936493568, 6826561273, 15870019697, 36892780289 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

Table of n, a(n) for n=0..35.

Index entries for linear recurrences with constant coefficients, signature (1,2,3,-2,4,-4,-1,-1,0,-1).

FORMULA

a(n) = A000931(n)^3.

a(n) = a(n-1)+2*a(n-2)+3*a(n-3)-2*a(n-4)+4*a(n-5)-4*a(n-6)-a(n-7)-a(n-8)-a(n-10).

G.f.: (x^9-x^8+x^7+x^6-5*x^5+x^4-2*x^3-2*x^2-x+1) / ((x-1) * (x^3-2*x^2+3*x-1) * (x^6+3*x^5+5*x^4+5*x^3+5*x^2+3*x+1)). - Colin Barker, Sep 18 2013

EXAMPLE

a(10)=27 because Padovan(10)=3 and 3^3=27.

MATHEMATICA

CoefficientList[Series[(1 - x^2)/(1 - x^2 - x^3), {x, 0, 50}], x]^3

CROSSREFS

Cf. A000578, A030078, A056570. Padovan sequence: A000931.

Sequence in context: A003873 A077110 A098360 * A255275 A253104 A122858

Adjacent sequences:  A133035 A133036 A133037 * A133039 A133040 A133041

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Nov 02 2007

STATUS

approved

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Last modified April 25 04:26 EDT 2019. Contains 322451 sequences. (Running on oeis4.)