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A110034 Row sums of a characteristic triangle for the Fibonacci numbers. 3
1, 0, -1, -4, -11, -30, -79, -208, -545, -1428, -3739, -9790, -25631, -67104, -175681, -459940, -1204139, -3152478, -8253295, -21607408, -56568929, -148099380, -387729211, -1015088254, -2657535551, -6957518400, -18215019649, -47687540548, -124847601995, -326855265438 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
Rows sums of A110033.
Conjecture: |a(n)| = sum_{k=1,...,n-1} A061646(k). - J. M. Bergot, Jun 10 2013
LINKS
FORMULA
G.f.: (1-3x-x^2+2x^3)/((1-x^2)(1-3x+x^2)); a(n)=a(n-1)-3a(n-3)+a(n-4); a(n)=sum{k=0..n-1, F(k)F(k+1)}-F(2n)+1.
a(n) = (5+(-1)^n-4*(-1)^n*A098149(n))/10. [From R. J. Mathar, Jul 22 2010]
MATHEMATICA
CoefficientList[Series[(-2*z^3 + z^2 + 3*z - 1)/(z^4 - 3*z^3 + 3*z - 1), {z, 0, 100}], z] (* Vladimir Joseph Stephan Orlovsky, Jul 17 2011 *)
CROSSREFS
Sequence in context: A026583 A339739 A291238 * A340824 A114726 A128098
KEYWORD
easy,sign
AUTHOR
Paul Barry, Jul 08 2005
STATUS
approved

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)