|
| |
|
|
A001518
|
|
Bessel polynomial y_n(3).
(Formerly M3669 N1495)
|
|
18
| |
|
|
1, 4, 37, 559, 11776, 318511, 10522639, 410701432, 18492087079, 943507142461, 53798399207356, 3390242657205889, 233980541746413697, 17551930873638233164, 1421940381306443299981, 123726365104534205331511, 11507973895102987539130504
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
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
| T. D. Noe, Table of n, a(n) for n=0..100
Index entries for sequences related to Bessel functions or polynomials
|
|
|
FORMULA
| y_n(x) = sum ((n+k)!*(x/2)^k/((n-k)!*k!), k=0..n);
a(n) = 3(2n-1)*a(n-1) + a(n-2). - T. D. Noe, Oct 26, 2006
|
|
|
CROSSREFS
| Cf. A001515, A001517.
Polynomial coefficients are in A001498.
Sequence in context: A123762 A070768 A121080 * A185082 A036245 A097998
Adjacent sequences: A001515 A001516 A001517 * A001519 A001520 A001521
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
