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A177844 a(n) = 6*a(n-1)-8*a(n-2) for n > 3; a(0)=279, a(1)=3996, a(2)=16008, a(3)=64784. 5
279, 3996, 16008, 64784, 260640, 1045568, 4188288, 16765184, 67084800, 268387328, 1073645568, 4294774784, 17179484160, 68718706688, 274876366848, 1099508547584, 4398040350720, 17592173723648, 70368719536128 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Related to Reverse and Add trajectory of 775 in base 2: a(n) = A077077(4*n+1)/6, i.e. one sixth of second quadrisection of A077077.

LINKS

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

FORMULA

a(n) = 4^(n+5)-47*2^(n+1) for n > 1.

G.f.: (279+2322*x-5736*x^2+704*x^3) / ((1-2*x)*(1-4*x)).

G.f. for the sequence starting at a(2): 8*x^2*(2001-3908*x)/((1-2*x)*(1-4*x)).

MATHEMATICA

CoefficientList[Series[(279 + 2322 x - 5736 x^2 + 704 x^3)/((1 - 2 x) (1 - 4 x)), {x, 0, 40}], x] (* Vincenzo Librandi, Sep 24 2013 *)

PROG

(PARI) {m=19; v=concat([279, 3996, 16008, 64784], vector(m-4)); for(n=5, m, v[n]=6*v[n-1]-8*v[n-2]); v}

(MAGMA) [279, 3996] cat [4^(n+5)-47*2^(n+1): n in [2..25]]; // Vincenzo Librandi, Sep 24 2013

CROSSREFS

Cf. A077077 (Reverse and Add trajectory of 775 in base 2), A177843, A177845, A177846.

Sequence in context: A331265 A038656 A160116 * A289303 A241803 A245208

Adjacent sequences:  A177841 A177842 A177843 * A177845 A177846 A177847

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, May 14 2010

STATUS

approved

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Last modified June 22 19:11 EDT 2021. Contains 345388 sequences. (Running on oeis4.)