A197903 Ceiling((n+1/n)^4).

16, 40, 124, 327, 732, 1447, 2604, 4359, 6892, 10407, 15132, 21319, 29244, 39207, 51532, 66567, 84684, 106279, 131772, 161607, 196252, 236199, 281964, 334087, 393132, 459687, 534364, 617799, 710652, 813607, 927372, 1052679, 1190284, 1340967, 1505532, 1684807

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Formula

a(n) = n^4 +4*n^2 +7, n>=3.

G.f.: (x^6-x^5-17*x^4+53*x^3-84*x^2+40*x-16)/(x-1)^5. - Harvey P. Dale, Apr 09 2015

Mathematica

Table[Ceiling[(n+1/n)^4], {n, 40}] (* Harvey P. Dale, Apr 09 2015 *)

Prog

(Magma) [Ceiling((n+1/n)^4): n in [1..50]]

Crossrefs

Cf. A014058

Sequence in context: A185761 A205248 A205186 * A300901 A174086 A174081

Adjacent sequences: A197900 A197901 A197902 * A197904 A197905 A197906

Keyword

nonn

Author

Vincenzo Librandi, Oct 19 2011

Status

approved