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
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).
Programs
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Magma
[Floor((n+1/n)^7): n in [1..40]];
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Mathematica
Table[Floor[(n + 1/n)^7], {n, 40}] (* T. D. Noe, Dec 27 2011 *) -
PARI
a(n)=floor((n+1/n)^7) \\ Charles R Greathouse IV, Dec 27 2011
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