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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

Harvey P. Dale, Table of n, a(n) for n = 1..1000

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

Cf. A147975-A147978.

Sequence in context: A092760 A240043 A058494 * A118265 A204271 A255469

Adjacent sequences:  A147976 A147977 A147978 * A147980 A147981 A147982

KEYWORD

sign,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Nov 18 2008

STATUS

approved

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Last modified April 21 20:59 EDT 2019. Contains 322328 sequences. (Running on oeis4.)