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A147979 8^n-7^n-6^n-5^n-4^n-3^n-2^n-1. 6
-6, -20, -76, -272, -580, 3760, 77324, 896848, 8869820, 81550960, 719926124, 6196609168, 52439953820, 438516694960, 3635082523724, 29935019892688, 245264010263420, 2001462391659760, 16280541150478124, 132087583623451408 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (36,-546,4536,-22449,67284,-118124,109584,-40320).
FORMULA
G.f.: 2*x*(49752*x^7-105056*x^6+87794*x^5-38129*x^4+9380*x^3-1316*x^2+98*x-3)/((x-1)*(2*x-1)*(3*x-1)*(4*x-1)*(5*x-1)*(6*x-1)*(7*x-1)*(8*x-1)). - Colin Barker, Oct 29 2012
MATHEMATICA
lst={}; Do[p=8^n-7^n-6^n-5^n-4^n-3^n-2^n-1^n; AppendTo[lst, p], {n, 0, 5!}]; lst
Table[8^n-Total[Range[7]^n], {n, 0, 20}] (* or *) LinearRecurrence[{36, -546, 4536, -22449, 67284, -118124, 109584, -40320}, {-6, -20, -76, -272, -580, 3760, 77324, 896848}, 20] (* Harvey P. Dale, Nov 15 2014 *)
PROG
(PARI) a(n)=8^n-7^n-6^n-5^n-4^n-3^n-2^n-1 \\ Charles R Greathouse IV, Oct 07 2015
CROSSREFS
Sequence in context: A092760 A240043 A058494 * A330245 A118265 A204271
KEYWORD
sign,easy
AUTHOR
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)