A198404 8^n*n^8.

0, 8, 16384, 3359232, 268435456, 12800000000, 440301256704, 12089663946752, 281474976710656, 5777633090469888, 107374182400000000, 1841328767004311552, 29548117155177824256, 448452706436800053248, 6490588908866265677824, 90173697372979200000000

Offset: 0

Author

Vincenzo Librandi, Oct 27 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (72,-2304,43008,-516096,4128768,-22020096,75497472,-150994944,134217728).

Crossrefs

Cf. A007758, A062074, A062075, A097206, A098880.

Programs

Magma

[8^n*n^8: n in [0..20]]

Mathematica

Table[8^n n^8,{n,0,20}] (* or *) LinearRecurrence[{72,-2304,43008,-516096,4128768,-22020096,75497472,-150994944,134217728},{0,8,16384,3359232,268435456,12800000000,440301256704,12089663946752,281474976710656},20] (* Harvey P. Dale, Apr 28 2018 *)

PARI

a(n)=8^n*n^8 \\ Charles R Greathouse IV, Jul 06 2017

Formula

G.f.: -8*x*(8*x +1)*(262144*x^6 +8060928*x^5 [phone]*x^4 +5924864*x^3 +259008*x^2 +1968*x +1) / (8*x -1)^9. - Colin Barker, Apr 30 2013