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A140429 Binomial transform of Jacobsthal numbers A001045. 3
0, 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049, 177147, 531441, 1594323, 4782969, 14348907, 43046721, 129140163, 387420489, 1162261467, 3486784401, 10460353203, 31381059609, 94143178827, 282429536481, 847288609443 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Implicit use in A094555 (Barry).

LINKS

Table of n, a(n) for n=0..26.

Index entries for linear recurrences with constant coefficients, signature (3).

FORMULA

a(n)=A000244(n-1), n >0.

O.g.f.: x/(1-3x). - R. J. Mathar, Aug 27 2008

MAPLE

with(finance):seq(floor(futurevalue(3, 2, n)), n=-2..24); # - Zerinvary Lajos, Mar 25 2009

PROG

(Sage) [lucas_number1(n, 3, 0) for n in xrange(0, 27)]# - Zerinvary Lajos, Apr 23 2009

(PARI) a(n)=if(n<2, n, 3^(n-1)) \\ Charles R Greathouse IV, Oct 03 2016

CROSSREFS

Cf. A000079(n)=A131577, A133494.

Sequence in context: A216097 A243845 * A141413 A000244 A133494 A050733

Adjacent sequences:  A140426 A140427 A140428 * A140430 A140431 A140432

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Jun 19 2008

EXTENSIONS

Extended by R. J. Mathar, Aug 28 2008

STATUS

approved

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Last modified April 23 01:40 EDT 2017. Contains 285313 sequences.