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(MAGMAMagma) [n^9*(n^6+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011
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(MAGMAMagma) [n^9*(n^6+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011
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a(n) = 16*a(n-1) - 120*a(n-2) + 560*a(n-3) - 1820*a(n-4) + 4368*a(n-5) - 8008*a(n-6) + 11440*a(n-7) - 12870*a(n-8) + 11440*a(n-9) - 8008*a(n-10) + 4368*a(n-11) - 1820*a(n-12) + 560*a(n-13) - 120*a(n-14) + 16*a(n-15) - a(n-16). - Wesley Ivan Hurt, Jul 29 2022
Table[n^9*(n^6+1)/2, {n, 0, 30}] (* G. C. Greubel, Dec 06 2017 *)
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a(n) = n^9*(n^6 + 1)/2.
<a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (16,-120,560,-1820,4368,-8008, 11440,-12870,11440,-8008,4368,-1820,560,-120,16,-1).
G.f.: (x + 16624*x^2 + 6918175*x^3 + 424049504*x^4 + 7520532701*x^5 + 51388594448*x^6 + 155693938947*x^7 + 223769083200*x^8 + 155693938947*x^9 + 51388594448*x^10 + 7520532701*x^11 + 424049504*x^12 + 6918175*x^13 + 16624*x^14 + x^15)/(1-x)^16. - G. C. Greubel, Dec 06 2017
Table[n^9*(n^6+1)/2, {n, 0, 30}] (* G. C. Greubel, Dec 06 2017 *)
(MAGMA) [n^9*(n^6+1)/2: n in [0..20]]; // _Vincenzo Librandi, _, Aug 26 2011
(PARI) for(n=0, 30, print1(n^9*(n^6+1)/2, ", ")) \\ G. C. Greubel, Dec 06 2017
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_N. J. A. Sloane *(njas(AT)research.att.com), _, Dec 11 2009
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