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A155701 a(n) = (4^n + 8)/3. 3
3, 4, 8, 24, 88, 344, 1368, 5464, 21848, 87384, 349528, 1398104, 5592408, 22369624, 89478488, 357913944, 1431655768, 5726623064, 22906492248, 91625968984, 366503875928, 1466015503704, 5864062014808, 23456248059224, 93824992236888, 375299968947544 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (5,-4).

FORMULA

a(n) = 3 + A002450(n).

a(n) = 5*a(n-1) - 4*a(n-2) = 4*a(n-1) - 8.

a(n) = A154879(2n) = A154890(2n).

a(n+1) - a(n) = A000302(n).

a(n+1) = 4*A047849(n) = 4*A078008(2n).

G.f.: (3-11*x)/((4*x-1)*(x-1)). - R. J. Mathar, Jul 23 2009

MAPLE

A155701 := proc(n) (4^n+8)/3 ; end: seq(A155701(n), n=0..80) ; # R. J. Mathar, Jul 23 2009

PROG

(MAGMA) [(4^n+8)/3: n in [0..35]]; // Vincenzo Librandi, Jul 24 2011

CROSSREFS

Sequence in context: A073313 A217248 A168382 * A119529 A180629 A258372

Adjacent sequences:  A155698 A155699 A155700 * A155702 A155703 A155704

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Jan 25 2009

EXTENSIONS

Edited and extended by R. J. Mathar, Jul 23 2009

STATUS

approved

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Last modified February 17 12:32 EST 2020. Contains 331996 sequences. (Running on oeis4.)