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A137229 Transform of A000217 without the initial 0 by the T_{0,0} transformation (see link). 1
1, 4, 11, 27, 64, 150, 350, 815, 1896, 4409, 10251, 23832, 55404, 128800, 299425, 696080, 1618191, 3761839, 8745216, 20330162, 47261894, 109870575, 255418100, 593775045, 1380359511, 3208946544, 7459895656, 17342153392, 40315615409 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Partial sums of A095263. - R. J. Mathar, Nov 04 2008

LINKS

Table of n, a(n) for n=1..29.

Richard Choulet, Curtz-like transformation.

Index entries for linear recurrences with constant coefficients, signature (4,-5,3,-1)

FORMULA

The o.g.f is the function f given by f(z) = a(0)+a(1)*z+... = (1/((1-z)*(1-3*z+2*z^2-z^3))).

a(n) = term (4,1) in the 4x4 matrix [3,1,0,0; -2,0,1,0; 1,0,0,0; 1,0,0,1]^(n). - Alois P. Heinz, Jul 24 2008

MAPLE

a:= n-> (Matrix([[3, 1, 0, 0], [ -2, 0, 1, 0], [1, 0, 0, 0], [1, 0, 0, 1]])^(n))[4, 1]: seq(a(n), n=1..50); # Alois P. Heinz, Jul 24 2008

MATHEMATICA

LinearRecurrence[{4, -5, 3, -1}, {1, 4, 11, 27}, 30] (* Harvey P. Dale, Nov 10 2014 *)

CROSSREFS

Cf. A136302, A136303, A136304, A136305.

Sequence in context: A047859 A100335 A080869 * A301874 A027439 A108985

Adjacent sequences:  A137226 A137227 A137228 * A137230 A137231 A137232

KEYWORD

easy,nonn

AUTHOR

Richard Choulet, Apr 05 2008

STATUS

approved

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Last modified June 18 17:05 EDT 2019. Contains 324214 sequences. (Running on oeis4.)