A248343 10^n - 8^n.

0, 2, 36, 488, 5904, 67232, 737856, 7902848, 83222784, 865782272, 8926258176, 91410065408, 931280523264, 9450244186112, 95601953488896, 964815627911168, 9718525023289344, 97748200186314752, 981985601490518016, 9855884811924144128

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (18,-80).

Formula

G.f.: 2*x/((1-8*x)*(1-10*x)).

a(n) = 18*a(n-1) - 80*a(n-2).

a(n) = 2^n*(5^n-4^n) = A000079(n) * A005060(n) = A011557(n) - A001018(n).

a(n+1) = 2*A016186(n).

Mathematica

Table[10^n - 8^n, {n, 0, 25}] (* or *) CoefficientList[Series[2 x/((1 - 8 x) (1 - 10 x)), {x, 0, 30}], x]
LinearRecurrence[{18, -80}, {0, 2}, 30] (* Harvey P. Dale, May 21 2018 *)

Prog

(Magma) [10^n-8^n: n in [0..30]];

Crossrefs

Cf. A016185, A016186, A139746.

Sequence in context: A193127 A092852 A139738 * A025608 A230132 A141132

Adjacent sequences: A248340 A248341 A248342 * A248344 A248345 A248346

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 05 2014

Status

approved