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A190543 8^n - 3^n. 3
0, 5, 55, 485, 4015, 32525, 261415, 2094965, 16770655, 134198045, 1073682775, 8589757445, 68718945295, 549754219565, 4398041728135, 35184357739925, 281474933663935, 2251799684545085, 18014398122061495, 144115186913594405 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Length-n words from letters {1, 2, ..., 8} with at least one letter greater than 3. - Joerg Arndt, Jun 02 2011

All terms are odd multiples of 5, since the powers of 8 mod 10 are 8, 4, 2, 6, ... and the powers of 3 mod 10 are 3, 9, 7, 1, ... - Alonso del Arte, Feb 25 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (11,-24).

FORMULA

a(n) = 11*a(n-1) - 24*a(n-2).

a(n) = A001018(n) - A000244(n). - Michel Marcus, Feb 26 2014

G.f.: 5*x/((1-3*x)*(1-8*x)). - Vincenzo Librandi, Oct 05 2014

a(n+1) = 5*A016140(n). - Vincenzo Librandi, Oct 05 2014

MAPLE

A190543:=n->8^n - 3^n; seq(A190543(n), n=0..20); # Wesley Ivan Hurt, Feb 26 2014

MATHEMATICA

Table[8^n - 3^n, {n, 0, 19}] (* Alonso del Arte, Feb 25 2014 *)

CoefficientList[Series[5 x/((1 - 3 x) (1 - 8 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Oct 05 2014 *)

PROG

(MAGMA) [8^n - 3^n: n in [0..30]]

(PARI) a(n)=8^n-3^n \\ Charles R Greathouse IV, Jun 02 2011

CROSSREFS

Cf. A016177, A016140.

Sequence in context: A138163 A306095 A081300 * A144894 A247775 A045640

Adjacent sequences:  A190540 A190541 A190542 * A190544 A190545 A190546

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Jun 02 2011

STATUS

approved

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Last modified April 23 13:25 EDT 2019. Contains 322386 sequences. (Running on oeis4.)