|
| |
|
|
A103646
|
|
G.f. 9*(3x+1)/(1+2x-6x^2-27x^3).
|
|
0
| |
|
|
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; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
COMMENTS
| A floretion-generated sequence of squares. This sequence is related to several other sequences of squares: a(n) = 9*A103644(n) and 4*3^(n+1) = 2*A103644(n) + a(n) + A103645(n) = 11*A103644(n) + A103645(n)
|
|
|
LINKS
| Index entries for sequences related to linear recurrences with constant coefficients
|
|
|
FORMULA
| a(n+3) = -2a(n+2) + 6a(n+1) + 27a(n), a(0) = 9, a(1) = 9, a(2) = 36
|
|
|
MATHEMATICA
| CoefficientList[ Series[9(3x + 1)/(1 + 2x - 6x^2 - 27x^3), {x, 0, 25}], x] (from Robert G. Wilson v Feb 12 2005)
|
|
|
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 * A111219 A188276 A152752
Adjacent sequences: A103643 A103644 A103645 * A103647 A103648 A103649
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 12 2005
|
|
|
EXTENSIONS
| Corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 12 2005
|
| |
|
|
