|
| |
|
|
A001514
|
|
Bessel polynomial {y_n}'(1).
(Formerly M4654 N1993)
|
|
10
| |
|
|
0, 1, 9, 81, 835, 9990, 137466, 2148139, 37662381, 733015845, 15693217705, 366695853876, 9289111077324, 253623142901401, 7425873460633005, 232122372003909045, 7715943399320562331, 271796943164015920914, 10114041937573463433966
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
REFERENCES
| J. Riordan, Combinatorial Identities, Wiley, 1968, p. 77.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
LINKS
| Index entries for sequences related to Bessel functions or polynomials
|
|
|
FORMULA
| (1/2) * Sum((n+k+2)!/((n-k)!*k!*2^k),k=0..n) (with a different offset).
|
|
|
MAPLE
| (As in A001497 define:) f := proc(n) option remember; if n <=1 then (1+x)^n else expand((2*n-1)*x*f(n-1)+f(n-2)); fi; end;
[seq( subs(x=1, diff(f(n), x)), n=0..60)];
f2:=proc(n) local k; add((n+k+2)!/((n-k)!*k!*2^k), k=0..n); end; [seq(f2(n), n=0..60)]; # uses a different offset
|
|
|
CROSSREFS
| Cf. A001515, A001516, A001518, A065920, A144505.
Sequence in context: A199689 A181581 A137062 * A077364 A067478 A077486
Adjacent sequences: A001511 A001512 A001513 * A001515 A001516 A001517
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
