|
Search: id:A164267
|
|
|
| A164267 |
|
A Fibonacci convolution. |
|
+0
1
|
|
| 0, 1, 2, 7, 16, 46, 114, 309, 792, 2101, 5456, 14356, 37468, 98281, 256998, 673323, 1761984, 4614226, 12078110, 31624285, 82787980, 216750601, 567446112, 1485616392, 3889356696, 10182528721, 26658108074, 69791991919, 182717549872
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
G.f.: x/((1+x-x^2)(1-3x+x^2));
a(n)=sum{k=0..n, (-1)^k*F(k+1)*F(2(n-k))};
a(n)=sum{k=0..n, C(n,k)*F(k+1)*(1-(-1)^(n-k))/2};
a(n)=2a(n-1)+3a(n-2)-4a(n-3)+a(n-4).
|
|
FORMULA
|
a(n)= (A122367(n)-A039834(n-1))/2. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 17 2009]
|
|
CROSSREFS
|
Sequence in context: A113224 A026571 A100099 this_sequence A000512 A084079 A042689
Adjacent sequences: A164264 A164265 A164266 this_sequence A164268 A164269 A164270
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Aug 11 2009
|
|
|
Search completed in 0.002 seconds
|
