

A105660


Expansion of 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
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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.
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]


LINKS



FORMULA



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 *)


CROSSREFS



KEYWORD

easy,sign


AUTHOR



STATUS

approved



