

A103644


Expansion of g.f. (3x+1)/(1+2x6x^227x^3).


3



1, 1, 4, 25, 1, 256, 169, 1225, 5476, 961, 64009, 25600, 358801, 1164241, 515524, 15642025, 3243601, 101284096, 239228089, 216825625, 3736387876, 287336401, 27697946329, 47210598400
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OFFSET

0,3


COMMENTS

A floretiongenerated sequence of squares.
This sequence is also related to several other sequences of squares.


LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000
Creighton Dement, Online Floretion Multiplier. [From Creighton Dement, May 24 2009]
Index entries for linear recurrences with constant coefficients, signature (2,6,27).


FORMULA

a(n+3) = 2a(n+2) + 6a(n+1) + 27a(n), a(0) = 1, a(1) = 1, a(2) = 4.
a(n) = (1/11)*(2*3^n(5/2(I*sqrt(11))/2)^n(5/2+(I*sqrt(11))/2)^n). [Creighton Dement, May 24 2009]


MATHEMATICA

CoefficientList[Series[(3x+1)/(1+2x6x^227x^3), {x, 0, 30}], x] (* or *) LinearRecurrence[{2, 6, 27}, {1, 1, 4}, 30] (* Harvey P. Dale, Dec 13 2017 *)


PROG

Floretion Algebra Multiplication Program, FAMP.


CROSSREFS

Cf. A103645.
Sequence in context: A092435 A058230 A162187 * A185070 A272680 A082202
Adjacent sequences: A103641 A103642 A103643 * A103645 A103646 A103647


KEYWORD

nonn,easy


AUTHOR

Creighton Dement, Feb 11 2005


EXTENSIONS

Corrected by T. D. Noe, Nov 07 2006


STATUS

approved



