

A179609


a(n)=(5(1)^n6*n)*2^(n2)


1



1, 0, 8, 24, 80, 192, 512, 1152, 2816, 6144, 14336, 30720, 69632, 147456, 327680, 688128, 1507328, 3145728, 6815744, 14155776, 30408704, 62914560, 134217728, 276824064, 587202560, 1207959552, 2550136832
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,3


COMMENTS

This sequence belongs to a family of sequences with GF(x) = (1+(k+2)*x+(2*k4)*x^2)/(12*x(k+8)*x^2(2*k)*x^3). Among the members of this family are several red king sequences, see A179597. For the sequence given above, which is not a red king sequence, k = 4.


LINKS

Table of n, a(n) for n=0..26.
Index entries for linear recurrences with constant coefficients, signature (2, 4, 8).


FORMULA

GF(x) = (12*x12*x^2)/(12*x4*x^2+8*x^3)
a(n) = 2*a(n1)+4*a(n2)8*a(n3) with a(1)=1, a(2)=0 and a(3)=8.
a(n) = (5(1)^n6*n)*2^(n2)


MATHEMATICA

Table[(5(1)^n6n)2^(n2), {n, 0, 30}] (* or *) LinearRecurrence[{2, 4, 8}, {1, 0, 8}, 30] (* Harvey P. Dale, Mar 25 2021 *)


CROSSREFS

Sequence in context: A078158 A221906 A116486 * A241690 A141317 A146534
Adjacent sequences: A179606 A179607 A179608 * A179610 A179611 A179612


KEYWORD

easy,sign


AUTHOR

Johannes W. Meijer, Jul 28 2010


STATUS

approved



