A197708 a(n) = floor((n+1/n)^7).

128, 610, 4572, 25045, 102807, 339119, 948645, 2337564, 5211939, 10721353, 20642867, 37610342, 65394162, 109236388, 176246402, 275862066, 420381442, 625570111, 911349137, 1302568701, 1829872465, 2530657691, 3450136161, 4642500937, 6172204001, 8115349815

Offset

1,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Formula

For n > 35, a(n) = n^7 + 7*n^5 + 21*n^3 + 35*n. - Charles R Greathouse IV, Dec 27 2011

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8). - Wesley Ivan Hurt, Apr 17 2023

Mathematica

Table[Floor[(n + 1/n)^7], {n, 40}] (* T. D. Noe, Dec 27 2011 *)

Prog

(Magma) [Floor((n+1/n)^7): n in [1..40]]
(PARI) a(n)=floor((n+1/n)^7) \\ Charles R Greathouse IV, Dec 27 2011

Crossrefs

Cf. A014052, A197602, A197603, A197604.

Sequence in context: A188864 A228688 A231529 * A198072 A197906 A218903

Adjacent sequences: A197705 A197706 A197707 * A197709 A197710 A197711

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 18 2011

Status

approved