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A048496 a(n) = 2^(n-1)*(3*n-4) + 3. 3
1, 2, 7, 23, 67, 179, 451, 1091, 2563, 5891, 13315, 29699, 65539, 143363, 311299, 671747, 1441795, 3080195, 6553603, 13893635, 29360131, 61865987, 130023427, 272629763, 570425347, 1191182339, 2483027971, 5167382531 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) = T(2, n), array T given by A048494.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

FORMULA

a(n) = A027992(n-1) + 1 = A053565(n) + 3.

From R. J. Mathar, Oct 31 2008: (Start)

a(n) = 5*a(n-1) - 8*a(n-2) + 4*a(n-3).

G.f.: (1 - 3*x + 5*x^2)/((1-x)(1-2*x)^2). (End)

PROG

(MAGMA) [2^(n-1)*(3*n-4)+3 : n in [0..30]]; // Vincenzo Librandi, Sep 26 2011

CROSSREFS

n-th difference of a(n), a(n-1), ..., a(0) is (1, 4, 7, 10, ...).

Sequence in context: A010748 A272819 A185250 * A210581 A037488 A129669

Adjacent sequences:  A048493 A048494 A048495 * A048497 A048498 A048499

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

EXTENSIONS

Formula from Ralf Stephan, Jan 15 2004

STATUS

approved

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Last modified September 21 19:57 EDT 2020. Contains 337273 sequences. (Running on oeis4.)