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

0,2

Comments

Partial sums of A097167.

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

Links

Table of n, a(n) for n=0..17.

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

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.

Crossrefs

Cf. A097167, A097169.

Sequence in context: A051475 A242576 A173448 * A305262 A296722 A252972

Adjacent sequences: A097165 A097166 A097167 * A097169 A097170 A097171

Keyword

easy,nonn

Author

Paul Barry, Jul 30 2004

Status

approved