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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 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: A077110 A333625 A098360 * A339734 A341834 A255275 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 June 24 21:50 EDT 2021. Contains 345433 sequences. (Running on oeis4.)