A177068 a(n) = 10^n + n^10.
1, 11, 1124, 60049, 1058576, 9865625, 61466176, 292475249, 1173741824, 4486784401, 20000000000, 125937424601, 1061917364224, 10137858491849, 100289254654976, 1000576650390625, 10001099511627776, 100002015993900449
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (21,-165,715,-1980,3762,-5082,4950,-3465,1705,-561,111,-10).
Programs
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Magma
[(10^n+n^10): n in [0..20]];
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Mathematica
f[n_]:=10^n+n^10;f[Range[0,40]] (* Vladimir Joseph Stephan Orlovsky, Feb 14 2011*)
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PARI
a(n)=10^n+n^10
Formula
G.f.: ( 1 -10*x +1058*x^2 +37545*x^3 -22878*x^4 -3242028*x^5 -11792724*x^6 -12648678*x^7 -4503915*x^8 -477442*x^9 -10118*x^10 -11*x^11 ) / ( (10*x-1)*(x-1)^11 ). - R. J. Mathar, Jun 18 2010
Extensions
Offset corrected by R. J. Mathar, Jun 18 2010