A197909 Ceiling((n+1/n)^10).

1024, 9537, 169351, 1922602, 14455511, 79525194, 345716131, 1253815680, 3941971041, 11046221255, 28162516240, 66354069278, 146236468528, 304356025990, 602797997503, 1143224193789, 2086847748927, 3682210047877, 6303034667439, 10498899284253, 17061992477839

Offset: 1

Author

Vincenzo Librandi, Oct 19 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..10000
• Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Crossrefs

Cf. A014058.

Programs

Magma

[Ceiling((n+1/n)^10): n in [1..30]]

Mathematica

Table[Ceiling[(n+1/n)^10],{n,30}] (* Harvey P. Dale, Jun 19 2012 *)

PARI

a(n)=ceil((n+1/n)^10) \\ Charles R Greathouse IV, Dec 27 2011

Formula

For n > 14, a(n) = n^10 + 10n^8 + 45n^6 + 120n^4 + 210n^2 + 253. - Charles R Greathouse IV, Dec 27 2011