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A103646 G.f.: 9*(3x+1)/(1+2x-6x^2-27x^3). 1
9, 9, 36, 225, 9, 2304, 1521, 11025, 49284, 8649, 576081, 230400, 3229209, 10478169, 4639716, 140778225, 29192409, 911556864, 2153052801, 1951430625, 33627490884, 2586027609, 249281516961, 424895385600, 715721076009, 7848531119529 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

A floretion-generated sequence of squares. This sequence is related to several other sequences of squares.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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) = 9, a(1) = 9, a(2) = 36

a(n) = 9*A103644(n).

4*3^(n+1) = 2*A103644(n) + a(n) + A103645(n) = 11*A103644(n) + A103645(n).

MATHEMATICA

CoefficientList[ Series[9(3x + 1)/(1 + 2x - 6x^2 - 27x^3), {x, 0, 25}], x] (* Robert G. Wilson v, Feb 12 2005 *)

LinearRecurrence[{-2, 6, 27}, {9, 9, 36}, 40] (* Harvey P. Dale, Mar 14 2016 *)

PROG

Floretion Algebra Multiplication Program, FAMP Code: 4ibaseiseq[ x*(+ 'i + 'j + i' + j' + 'ii' + 'jj' + 'ij' + 'ji' + e) ] where x is the sum of all (16) floretion basis vectors.

CROSSREFS

Cf. A103644, A103645.

Sequence in context: A145954 A003874 A097988 * A246314 A111219 A242585

Adjacent sequences:  A103643 A103644 A103645 * A103647 A103648 A103649

KEYWORD

easy,nonn

AUTHOR

Creighton Dement, Feb 12 2005

EXTENSIONS

Corrected and extended by Robert G. Wilson v, Feb 12 2005

STATUS

approved

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Last modified December 9 17:46 EST 2016. Contains 278985 sequences.