|
| |
|
|
A106666
|
|
Expansion of g.f. (1-4*x^2+2*x^3)/((1-x)*(1-2*x-2*x^2+2*x^3)).
|
|
1
|
|
|
|
1, 3, 5, 13, 29, 73, 177, 441, 1089, 2705, 6705, 16641, 41281, 102433, 254145, 630593, 1564609, 3882113, 9632257, 23899521, 59299329, 147133185, 365065985, 905799681, 2247464961, 5576397313, 13836125185, 34330115073, 85179685889
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (3,0,-4,2).
|
|
|
FORMULA
|
Superseeker results: a(n+1) - a(n) = A052970(n+2); a(n+2) - a(n) = A052987(n+2).
a(0)=1, a(n) = 2*A077937(n-1) + 1.
|
|
|
MATHEMATICA
|
LinearRecurrence[{3, 0, -4, 2}, {1, 3, 5, 13}, 30] (* Harvey P. Dale, Jul 28 2015 *)
|
|
|
PROG
|
Floretion Algebra Multiplication Program, FAMP Code: 1vesseq[I*J*cyc(I)] with I = + .5'ii' + .5'kk' + .5'ik' + .5'jk' + .5'ki' + .5'kj' and J = + .5'i + .5i' - .5'ii' + .5'jj' + .5'kk' + .5e
(Magma) R<x>:=PowerSeriesRing(Integers(), 50); Coefficients(R!( (1-4*x^2+2*x^3)/((1-x)*(1-2*x-2*x^2+2*x^3)) )); // G. C. Greubel, Sep 08 2021
(Sage)
def A106666_list(prec):
P.<x> = PowerSeriesRing(QQ, prec)
return P( (1-4*x^2+2*x^3)/((1-x)*(1-2*x-2*x^2+2*x^3)) ).list()
A106666_list(50) # G. C. Greubel, Sep 08 2021
|
|
|
CROSSREFS
|
Cf. A052970, A052987, A077937.
Sequence in context: A339155 A168314 A335562 * A124791 A147046 A233232
Adjacent sequences: A106663 A106664 A106665 * A106667 A106668 A106669
|
|
|
KEYWORD
|
easy,nonn
|
|
|
AUTHOR
|
Creighton Dement, May 13 2005
|
|
|
STATUS
|
approved
|
| |
|
|
