A294329 a(n) = 8*((9*n + 8)*10^n - 8)/81.

0, 16, 256, 3456, 43456, 523456, 6123456, 70123456, 790123456, 8790123456, 96790123456, 1056790123456, 11456790123456, 123456790123456, 1323456790123456, 14123456790123456, 150123456790123456, 1590123456790123456, 16790123456790123456, 176790123456790123456

Offset: 0

Author

Seiichi Manyama, Oct 28 2017

Keywords

• nonn
• easy

Links

• Colin Barker, Table of n, a(n) for n = 0..900
• Index entries for linear recurrences with constant coefficients, signature (21,-120,100).

Crossrefs

Cf. A294327, A294328.

Programs

Mathematica

LinearRecurrence[{21,-120,100},{0,16,256},20] (* Harvey P. Dale, Aug 19 2018 *)

PARI

concat(0, Vec(16*x*(1 - 5*x) / ((1 - x)*(1 - 10*x)^2) + O(x^30))) \\ Colin Barker, Oct 28 2017

Formula

a(n) = (8/9) * A294327(n) = 8 * A294328(n).

From Colin Barker, Oct 28 2017: (Start)

G.f.: 16*x*(1 - 5*x) / ((1 - x)*(1 - 10*x)^2).

a(n) = 21*a(n-1) - 120*a(n-2) + 100*a(n-3) for n>2.

(End)