A196288 a(n) = n^8 + n.
0, 2, 258, 6564, 65540, 390630, 1679622, 5764808, 16777224, 43046730, 100000010, 214358892, 429981708, 815730734, 1475789070, 2562890640, 4294967312, 6975757458, 11019960594, 16983563060, 25600000020, 37822859382, 54875873558, 78310985304
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
Programs
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Magma
[n^8+n: n in [0..30]];
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Mathematica
Array[#^8 + # &, 50, 0] (* Paolo Xausa, Jun 27 2025 *)
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PARI
a(n)=n^8+n \\ Charles R Greathouse IV, Nov 21 2011
Formula
G.f. -2*x*(1+120*x+2157*x^2+7792*x^3+7827*x^4+2136*x^5+127*x^6) / (x-1)^9 . - R. J. Mathar, Oct 13 2011
a(n) = 2*A168067(n). - R. J. Mathar, Oct 13 2011