|
| |
|
|
A004986
|
|
(2^n/n!)*product[ k=0..n-1 ](4*k + 7).
|
|
0
| |
|
|
1, 14, 154, 1540, 14630, 134596, 1211364, 10729224, 93880710, 813632820, 6997242252, 59794615608, 508254232668, 4300612737960, 36248021648520, 304483381847568, 2550048322973382, 21300403638954132, 177503363657951100
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
FORMULA
| A(x) = (1 - 8*x)^(-7/4).
a(n) ~ 4/3*Gamma(3/4)^-1*n^(3/4)*2^(3*n)*{1 + 21/32*n^-1 - ...}
|
|
|
MAPLE
| seq(2^n/n!*product(4*k + 7, k=0..n-1), n=0..30);
|
|
|
CROSSREFS
| Sequence in context: A016215 A097227 A125426 * A154248 A006865 A154347
Adjacent sequences: A004983 A004984 A004985 * A004987 A004988 A004989
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Joe Keane (jgk(AT)jgk.org)
|
|
|
EXTENSIONS
| More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Mar 24 2002
|
| |
|
|