|
Search: id:A049395
|
|
|
| A049395 |
|
Expansion of (1-x)^(-7/5). |
|
+0
2
|
|
| 1, 35, 1050, 29750, 818125, 22089375, 589050000, 15567750000, 408653437500, 10670395312500, 277430278125000, 7187966296875000, 185689129335937500, 4785066025195312500, 123044554933593750000, 3158143576628906250000
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
G.f.: (1-25*x)^(-7/5).
a(n) = 5^n/n! * product[ k=0..n-1 ] (5*k+7).
a(n) ~ 5/2*Gamma(2/5)^-1*n^(2/5)*5^(2*n)*{1 + 7/25*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001
|
|
EXAMPLE
|
(1-x)^(-7/5) = 1 + 7/5*x + 42/25*x^2 + 238/125*x^3 + ...
|
|
CROSSREFS
|
Cf. A049380.
Adjacent sequences: A049392 A049393 A049394 this_sequence A049396 A049397 A049398
Sequence in context: A014934 A115473 A002453 this_sequence A115492 A046176 A029546
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Joe Keane (jgk(AT)jgk.org)
|
|
|
Search completed in 0.002 seconds
|
