|
Search: id:A004985
|
|
|
| A004985 |
|
2^n/n!*product[ k=0..n-1 ](4*k + 5). |
|
+0
1
|
|
| 1, 10, 90, 780, 6630, 55692, 464100, 3845400, 31724550, 260846300, 2138939660, 17500415400, 142920059100, 1165348174200, 9489263704200, 77179344794160, 627082176452550, 5090431785320700, 41289057814267900, 334658679126171400
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
A(x) = (1 - 8*x)^(-5/4).
a(n) ~ 4*Gamma(1/4)^-1*n^(1/4)*2^(3*n)*{1 + 5/32*n^-1 - ...}
|
|
PROGRAM
|
(PARI) a(n)=2^n/n!*prod(k=0, n-1, 4*k+5) for(n=0, 21, print(a(n)))
|
|
CROSSREFS
|
Sequence in context: A159733 A038726 A009454 this_sequence A164552 A057086 A092420
Adjacent sequences: A004982 A004983 A004984 this_sequence A004986 A004987 A004988
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Joe Keane (jgk(AT)jgk.org)
|
|
EXTENSIONS
|
More terms from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Mar 03 2002
|
|
|
Search completed in 0.002 seconds
|
