

A105660


G.f. (1x)(x^25x+3)/(x^46x^3+13x^26x+1).


0



3, 10, 27, 49, 0, 485, 2643, 9602, 26163, 47525, 0, 470449, 2563707, 9313930, 25378083, 46099201, 0, 456335045, 2486793147, 9034502498, 24616714347, 44716177445, 0, 442644523201, 2412186788883, 8763458109130, 23878187538507
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,1


COMMENTS

One of a set of interlinked sequences which appear to have the property that if a(m) = 0 for some m, then a(m+1), a(m+2), a(m+3), a(m+4), a(m+5) are strictly increasing or decreasing and a(m+6) = 0. Furthermore, for this particular sequence it would appear that a(m+3) is always even with a(m+1), a(m+2), a(m+4), a(m+5) odd. (a(n)) sequence is "ves" in the link to sequences in context. The identity ves = jes + les + tes holds.


LINKS

Table of n, a(n) for n=0..26.
Index entries for linear recurrences with constant coefficients, signature (6,13,6,1).


FORMULA

For n > 11, a(n) = 970*a(n6)  a(n12).  Gerald McGarvey, Apr 21 2005


MATHEMATICA

CoefficientList[ Series[(1  x)(x^2  5x + 3)/(x^4  6x^3 + 13x^2  6x + 1), {x, 0, 26}], x] (* Robert G. Wilson v, Apr 18 2005 *)


PROG

Floretion Algebra Multiplication Program, FAMP Code: vesseq[ + .5'i  .5'j + .5i' + .5j' + .5k'  .5'ii' + .5'jj'  .5'ij'  .5'ik' + .5'ji' + .5'jk' + 1.5e]


CROSSREFS

Sequence in context: A301308 A196232 A282282 * A056681 A192959 A100624
Adjacent sequences: A105657 A105658 A105659 * A105661 A105662 A105663


KEYWORD

easy,sign


AUTHOR

Creighton Dement, Apr 17 2005


STATUS

approved



