|
| |
|
|
A064306
|
|
Convolution of A052701 (Catalan numbers multiplied by powers of 2) with powers of -1.
|
|
4
| |
|
|
1, 1, 7, 33, 191, 1153, 7295, 47617, 318463, 2170881, 15028223, 105365505, 746651647, 5339185153, 38478839807, 279201841153, 2037998419967, 14954803494913, 110255315877887, 816299567480833, 6066679566041087
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
REFERENCES
| W. Lang, On polynomials related to derivatives of the generating function of Catalan numbers, Fib. Quart. 40,4 (2002) 299-313; Eq.(31) with lambda=-1/2.
|
|
|
FORMULA
| a(n)= ((-1)^n)*sum(C(k)/(-1/2)^k, k=0..n) with C(k)=A000108(k) (Catalan).
a(n)= -a(n-1) +C(n)*2^n, n >= 0, a(-1) := 0, with C(n)=A000108(n).
G.f.: A(2*x)/(1+x), with A(x) g.f. of Catalan numbers A000108.
|
|
|
CROSSREFS
| Sequence in context: A155603 A054256 A085636 * A204706 A197995 A197565
Adjacent sequences: A064303 A064304 A064305 * A064307 A064308 A064309
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Sep 13 2001
|
| |
|
|
