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A198693 3*4^n-1 3
2, 11, 47, 191, 767, 3071, 12287, 49151, 196607, 786431, 3145727, 12582911, 50331647, 201326591, 805306367, 3221225471, 12884901887, 51539607551, 206158430207, 824633720831, 3298534883327, 13194139533311, 52776558133247 (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) = 4*a(n-1)+3. a(n) = 5*a(n-1)-4*a(n-2), n>1.

G.f. ( 2+x ) / ( (4*x-1)*(x-1) ). - R. J. Mathar, Oct 30 2011

PROG

(MAGMA) [3*4^n-1: n in [0..30]]

CROSSREFS

Cf. A024036, A097743, A114569, A156760.

Sequence in context: A106980 A089682 A211671 * A178710 A050929 A019005

Adjacent sequences:  A198690 A198691 A198692 * A198694 A198695 A198696

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Oct 29 2011

STATUS

approved

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Last modified December 7 14:52 EST 2016. Contains 278877 sequences.