A197908 Ceiling((n+1/n)^9).

512, 3815, 50806, 452377, 2779906, 12895978, 48400259, 154315776, 432655359, 1093685273, 2539243268, 5491371251, 11182788770, 21629362254, 40008716649, 71173490664, 122332454248, 203937787268, 330822261551, 523635874527, 810637651663, 1229904866746

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 (10,-45,120,-210,252,-210,120,-45,10,-1).

Crossrefs

Cf. A014058.

Programs

Magma

[Ceiling((n+1/n)^9): n in [1..40]]

PARI

a(n)=ceil((n+1/n)^9) \\ Charles R Greathouse IV, Dec 27 2011

Formula

For n > 126, a(n) = n^9 + 9n^7 + 36n^5 + 84n^3 + 126n + 2. - Charles R Greathouse IV, Dec 27 2011