A097168 Expansion of (1-7x)/((1-x)(1-9x)(1-10x)).

1, 13, 151, 1693, 18571, 200473, 2137591, 22571653, 236478211, 2461637233, 25488068431, 262725949213, 2697866876251, 27614135219593, 281860550309671, 2870078286120373, 29164037908416691, 295809674509083553

Offset: 0

Author

Paul Barry, Jul 30 2004

Keywords

• easy
• nonn

Comments

Partial sums of A097167.

a(n) = A097169(2n+1)/4.

Links

• Index entries for linear recurrences with constant coefficients, signature (20,-109,90).

Crossrefs

Cf. A097167, A097169.

Formula

a(n) = 10*10^n/3 - 9*9^n/4 - 1/12.

a(n) = 20*a(n-1)-109*a(n-2)+90*a(n-3).

a(n) = A097169(2n+1)/4.