A197907 Ceiling((n+1/n)^8).

256, 1526, 15242, 106442, 534598, 2091240, 6776037, 18992711, 47486564, 108285671, 228948164, 454458311, 855154436, 1537112039, 2655445796, 4431034439, 7171212836, 11295015911, 17363599364, 26116502471, 38514458564, 55789499111, 79503137636, 111613460039

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 (9,-36,84,-126,126,-84,36,-9,1).

Crossrefs

Cf. A014058.

Programs

Magma

[Ceiling((n+1/n)^8): n in [1..40]]

Mathematica

Table[Ceiling[(n+1/n)^8],{n,30}] (* Harvey P. Dale, Jul 10 2013 *)

PARI

a(n)=ceil((n+1/n)^8) \\ Charles R Greathouse IV, Dec 27 2011

Formula

For n > 7, a(n) = n^8 + 8n^6 + 28n^4 + 56n^2 + 70. [Charles R Greathouse IV, Dec 27 2011]