A177068 10^n+n^10

1, 11, 1124, 60049, 1058576, 9865625, 61466176, 292475249, 1173741824, 4486784401, 20000000000, 125937424601, 1061917364224, 10137858491849, 100289254654976, 1000576650390625, 10001099511627776, 100002015993900449

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (21,-165,715,-1980,3762,-5082,4950,-3465,1705,-561,111,-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]

Mathematica

f[n_]:=10^n+n^10; f[Range[0, 40]] (* Vladimir Joseph Stephan Orlovsky, Feb 14 2011*)

Prog

(Magma) [(10^n+n^10): n in [0..20]]
(PARI) a(n)=10^n+n^10

Crossrefs

Sequence in context: A167118 A045981 A090507 * A358149 A222827 A067105

Adjacent sequences: A177065 A177066 A177067 * A177069 A177070 A177071

Keyword

nonn,easy

Author

Vincenzo Librandi, May 31 2010

Extensions

Offset corrected and o.g.f. added - R. J. Mathar, Jun 18 2010

Status

approved