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A173952 a(1)=32 and, for n > 1, a(n) = 9*a(n-1) + 32. 2
32, 320, 2912, 26240, 236192, 2125760, 19131872, 172186880, 1549681952, 13947137600, 125524238432, 1129718145920, 10167463313312, 91507169819840, 823564528378592, 7412080755407360, 66708726798666272, 600378541187996480 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

It appears that all terms of this sequence are also terms of A173951.

Also, it appears that a(n) has the base-3 representation 1,0,2^(2n-2),1,2 where 2^k denotes k consecutive 2's.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..400

Index entries for linear recurrences with constant coefficients, signature (10, -9).

FORMULA

From R. J. Mathar, Mar 04 2010: (Start)

a(n) = 4*(9^n-1) = 4*A024101(n) = 10*a(n-1) - 9*a(n-2).

G.f.: 32*x/ ((9*x-1) * (x-1)). (End)

MATHEMATICA

NestList[9#+32&, 32, 20] (* Harvey P. Dale, May 27 2012 *)

PROG

(MAGMA) [4*(9^n-1): n in [1..20]]; // Vincenzo Librandi, Jul 05 2011

CROSSREFS

Cf. A173951.

Sequence in context: A199532 A165004 A244867 * A239422 A165008 A095152

Adjacent sequences:  A173949 A173950 A173951 * A173953 A173954 A173955

KEYWORD

nonn,easy

AUTHOR

John W. Layman, Mar 03 2010

STATUS

approved

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Last modified April 4 05:34 EDT 2020. Contains 333212 sequences. (Running on oeis4.)