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A147838 a(n)=8*a(n-1)-6*a(n-2), a(0)=1, a(1)=6 . 3
1, 6, 42, 300, 2148, 15384, 110184, 789168, 5652240, 40482912, 289949856, 2076701376, 14873911872, 106531086720, 763005222528, 5464855259904, 39140810744064, 280337354393088, 2007853970680320, 14380807639084032 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n)=Sum_{k, 0<=k<=n}A147703(n,k)*5^k . G.f.: (1-2x)/(1-8x+6*x^2).

a(n)=(1/2)*[4-sqrt(10)]^n+(1/2)*[4+sqrt(10)]^n+(1/10)*[4+sqrt(10)]^n*sqrt(10)-(1/10)*[4 -sqrt(10)]^n*sqrt(10), with n>=0 [From Paolo P. Lava, Nov 18 2008]

a(n)= ((5+sqrt(10))/10)*(4+sqrt(10))^n + ((5-sqrt(10))/10)*(4-sqrt(10))^n [From Richard Choulet, Nov 20 2008]

MATHEMATICA

LinearRecurrence[{8, -6}, {1, 6}, 40] (* Harvey P. Dale, Mar 01 2012 *)

CROSSREFS

Sequence in context: A216517 A055272 A155196 * A127628 A111602 A299916

Adjacent sequences:  A147835 A147836 A147837 * A147839 A147840 A147841

KEYWORD

nonn

AUTHOR

Philippe Deléham, Nov 14 2008

STATUS

approved

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Last modified June 22 09:28 EDT 2021. Contains 345375 sequences. (Running on oeis4.)