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A081890 A sum of decreasing powers. 1
1, 3, 7, 33, 643, 11073, 151867, 1816713, 19996963, 208630833, 2099398027, 20597485593, 198424412083, 1885822419393, 17740469253787, 165580566245673, 1535948935336003, 14178113530908753, 130361707324735147 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A081687

LINKS

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (35,-485,3325,-11274,15120).

FORMULA

a(n)=9^n-8^n-7^n-6^n+3*5^n.

G.f. -(4182*x^4-2082*x^3+387*x^2-32*x+1)/((5*x-1)*(6*x-1)*(7*x-1)*(8*x-1)*(9*x-1)). [Colin Barker, Aug 12 2012]

MATHEMATICA

LinearRecurrence[{35, -485, 3325, -11274, 15120}, {1, 3, 7, 33, 643}, 30] (* Harvey P. Dale, Jun 26 2017 *)

CROSSREFS

Cf. A081691.

Sequence in context: A054935 A208989 A024496 * A192880 A318444 A334314

Adjacent sequences:  A081887 A081888 A081889 * A081891 A081892 A081893

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 30 2003

STATUS

approved

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Last modified June 18 20:45 EDT 2021. Contains 345121 sequences. (Running on oeis4.)