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A171479 a(n) = 6*a(n-1)-8*a(n-2)+3 for n > 1; a(0) = 1, a(1) = 8. 1
1, 8, 43, 197, 841, 3473, 14113, 56897, 228481, 915713, 3666433, 14672897, 58705921, 234852353, 939466753, 3757981697, 15032156161, 60129083393, 240517251073, 962070839297, 3848287027201, 15393155448833, 61572636475393 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (7,-14,8)

FORMULA

a(n) = (2-7*2^n+7*4^n)/2.

G.f.: (1+x+x^2)/((1-x)*(1-2*x)*(1-4*x)).

MAPLE

A171479:=n->(2-7*2^n+7*4^n)/2: seq(A171479(n), n=0..30); # Wesley Ivan Hurt, Apr 28 2017

PROG

(PARI) {m=23; v=concat([1, 8], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-8*v[n-2]+3); v}

(MAGMA) [(2-7*2^n+7*4^n)/2: n in [0..30]]; // Vincenzo Librandi, Jul 18 2011

CROSSREFS

Cf. A171472, A171473, A171478.

Sequence in context: A005024 A094865 A122880 * A227209 A282523 A099253

Adjacent sequences:  A171476 A171477 A171478 * A171480 A171481 A171482

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Dec 09 2009

STATUS

approved

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Last modified October 16 01:20 EDT 2019. Contains 328038 sequences. (Running on oeis4.)