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A198404
8^n*n^8.
3
0, 8, 16384, 3359232, 268435456, 12800000000, 440301256704, 12089663946752, 281474976710656, 5777633090469888, 107374182400000000, 1841328767004311552, 29548117155177824256, 448452706436800053248, 6490588908866265677824, 90173697372979200000000
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (72,-2304,43008,-516096,4128768,-22020096,75497472,-150994944,134217728).
FORMULA
G.f.: -8*x*(8*x +1)*(262144*x^6 +8060928*x^5 +16576512*x^4 +5924864*x^3 +259008*x^2 +1968*x +1) / (8*x -1)^9. - Colin Barker, Apr 30 2013
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 *)
PROG
(Magma) [8^n*n^8: n in [0..20]]
(PARI) a(n)=8^n*n^8 \\ Charles R Greathouse IV, Jul 06 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Oct 27 2011
STATUS
approved