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A165314 a(0)=1, a(1)=6, a(n)=13*a(n-1)-36*a(n-2) for n>1. 2
1, 6, 42, 330, 2778, 24234, 215034, 1923018, 17258010, 155125482, 1395342906, 12554940426, 112981880922, 1016786596650, 9150878043258, 82357097082954, 741210652521114, 6670882987788138, 60037895350485690, 540340851995941002 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n)/a(n-1) tends to 9.

LINKS

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

FORMULA

G.f.: (1-7x)/(1-13x+36x^2). a(n)=Sum_{k, 0<=k<=n}A165253(n,k)*6^(n-k).

a(n) = (2*9^n+3*4^n)/5. [From Klaus Brockhaus, Sep 26 2009]

CROSSREFS

Sequence in context: A118351 A033296 A218755 * A082302 A144223 A320758

Adjacent sequences:  A165311 A165312 A165313 * A165315 A165316 A165317

KEYWORD

nonn

AUTHOR

Philippe Deléham, Sep 14 2009

STATUS

approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)