OFFSET
0,2
COMMENTS
A floretion-generated sequence involving tribonacci numbers.
Floretion Algebra Multiplication Program, FAMP Code: 1tesforrokseq[A*B] = A = - .5'ii' + .5'jj' + .5'kk' + .5e B = + 'kj', 1vesforrokseq[A*B] = A000004, ForType: 1A.
LINKS
Index entries for linear recurrences with constant coefficients, signature (3,-2,0,-1,1).
FORMULA
a(n+2) - 2*a(n+1) + a(n) = A081172(n+4).
a(0)=1, a(1)=3, a(2)=8, a(3)=18, a(4)=38, a(n) = 3*a(n-1) - 2*a(n-2) - a(n-4) + a(n-5). - Harvey P. Dale, Jun 14 2011
MATHEMATICA
CoefficientList[Series[-(1+x^2+x^4)/((x^3+x^2+x-1)*(x-1)^2), {x, 0, 30}], x] (* or *) LinearRecurrence[{3, -2, 0, -1, 1}, {1, 3, 8, 18, 38}, 30] (* Harvey P. Dale, Jun 14 2011 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Creighton Dement, Apr 01 2005
EXTENSIONS
Definition corrected by Harvey P. Dale, Jun 14 2011
STATUS
approved