|
Search: id:A077961
|
|
|
| A077961 |
|
Expansion of 1/(1+x^2-x^3). |
|
+0
1
|
|
| 1, 0, -1, 1, 1, -2, 0, 3, -2, -3, 5, 1, -8, 4, 9, -12, -5, 21, -7, -26, 28, 19, -54, 9, 73, -63, -64, 136, 1, -200, 135, 201, -335, -66, 536, -269, -602, 805, 333, -1407, 472, 1740, -1879, -1268, 3619, -611, -4887, 4230, 4276, -9117, -46, 13393, -9071, -13439, 22464, 4368, -35903, 18096, 40271, -53999
(list; graph; listen)
|
|
|
OFFSET
|
0,6
|
|
|
FORMULA
|
a(n)=sum{k=0..floor(n/2), binomial(k, n-2k)(-1)^(n-k)} - Paul Barry (pbarry(AT)wit.ie), Jun 24 2005
a(n) = term (1,1) in matrix [0,1,0; -1,0,1; 1,0,0]^n. a(n) = A000930 (-3-n). - Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jun 20 2008
|
|
MAPLE
|
a := n -> (Matrix([[0, 1, 0], [ -1, 0, 1], [1, 0, 0]])^n)[1, 1]; seq (a(n), n=0..50); - Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jun 20 2008
|
|
CROSSREFS
|
Cf. A000930.
Sequence in context: A152039 A132623 A051613 this_sequence A077962 A078031 A089196
Adjacent sequences: A077958 A077959 A077960 this_sequence A077962 A077963 A077964
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Nov 17 2002
|
|
|
Search completed in 0.002 seconds
|
