A081683 (10^n-9^n-8^n-7^n+4*6^n)/2.

1, 5, 25, 140, 1063, 11240, 137695, 1708040, 20564863, 239159480, 2699431615, 29751433640, 321858414463, 3431866061720, 36180197308735, 378028837122440, 3921778171748863, 40453047305219960, 415334396211141055

Offset

0,2

Comments

Binomial transform of A081681

Links

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

Index entries for linear recurrences with constant coefficients, signature (40,-635,5000,-19524,30240).

Formula

G.f.: -(5862*x^4-2685*x^3+460*x^2-35*x+1)/((6*x-1)*(7*x-1)*(8*x-1)*(9*x-1)*(10*x-1)). [Colin Barker, Sep 07 2012]

Mathematica

Table[(10^n-9^n-8^n-7^n+4*6^n)/2, {n, 0, 20}] (* or *) LinearRecurrence[{40, -635, 5000, -19524, 30240}, {1, 5, 25, 140, 1063}, 20] (* Harvey P. Dale, Mar 27 2019 *)

Crossrefs

Sequence in context: A365772 A094094 A344249 * A064311 A122441 A114870

Adjacent sequences: A081680 A081681 A081682 * A081684 A081685 A081686

Keyword

easy,nonn

Author

Paul Barry, Mar 30 2003

Status

approved