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A152620 a(n)=-8*a(n-1)-6*a(n-2), n>1 ; a(0)=1, a(1)=-2 . 2
1, -2, 10, -68, 484, -3464, 24808, -177680, 1272592, -9114656, 65281696, -467565632, 3348834880, -23985285248, 171789272704, -1230402470144, 8812484124928, -63117458178560, 452064760678912, -3237813336359936 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (-8,-6).

FORMULA

G.f.: (1+6*x)/(1+8*x+6*x^2). a(n)=Sum_{k, 0<=k<=n}A147703(n,k)*(-3)^(n-k).

a(n)=(1/2)*{[ -4+sqrt(10)]^n+[ -4-sqrt(10)]^n}+(1/10)*sqrt(10)*{[ -4+sqrt(10)]^n-[ -4-sqrt(10)]^n}, with n>=0 [From Paolo P. Lava, Dec 12 2008]

MATHEMATICA

LinearRecurrence[{-8, -6}, {1, -2}, 30] (* Harvey P. Dale, Apr 03 2015 *)

CROSSREFS

Cf. A152594

Sequence in context: A108397 A049036 A208561 * A152621 A147725 A074603

Adjacent sequences:  A152617 A152618 A152619 * A152621 A152622 A152623

KEYWORD

sign

AUTHOR

Philippe Deléham, Dec 10 2008

STATUS

approved

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Last modified September 26 15:27 EDT 2017. Contains 292531 sequences.