A099675 Partial sums of repdigits of A002282.

8, 96, 984, 9872, 98760, 987648, 9876536, 98765424, 987654312, 9876543200, 98765432088, 987654320976, 9876543209864, 98765432098752, 987654320987640, 9876543209876528, 98765432098765416, 987654320987654304, 9876543209876543192, 98765432098765432080, 987654320987654320968

Offset: 1

Author

Labos Elemer, Nov 17 2004

Keywords

• base
• nonn
• easy

Examples

			8 + 88 + 888 + 8888 + 88888 = a(5) = 98760.
		

Links

• Index entries for linear recurrences with constant coefficients, signature (12,-21,10).

Crossrefs

Cf. A002275-A002283, A014824, A057932, A099669-A099675.

Programs

Mathematica

<Robert G. Wilson v, Nov 20 2004 *)

Formula

a(n) = (8/81)*(10^(n+1) - 9*n - 10). - R. Piyo (nagoya314(AT)yahoo.com), Dec 10 2004

a(n) = 12*a(n-1) - 21*a(n-2) + 10*a(n-3). - Wesley Ivan Hurt, Jan 20 2024

From Elmo R. Oliveira, Apr 02 2025: (Start)

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

E.g.f.: 8*exp(x)*(10*exp(9*x) - 9*x - 10)/81.

a(n) = 8*A014824(n). (End)

Extensions

More terms from Elmo R. Oliveira, Apr 02 2025