|
Search: id:A115970
|
|
|
| A115970 |
|
Expansion of 1/(4*sqrt(1-4x)-3). |
|
+0
6
|
|
| 1, 8, 72, 656, 5992, 54768, 500688, 4577568, 41851560, 382641200, 3498428272, 31985610720, 292439802256, 2673735097184, 24445577182368, 223502416896576, 2043450657688872, 18682977401318064, 170815793235313968
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The g.f. is A(x)^2/(2*A(x)-A(x)^2) where A(x) is the g.f. of A076035.
The Hankel transform of this sequence is 8^n = [1, 8, 64, 512, 4096, ...] ; The Hankel transform of the aerated sequence with g.f. 1/(1-8*x^2*c(x^2)) is also 8^n . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 13 2007
|
|
FORMULA
|
G.f.: 1/(1-8*x*c(x)), where c(x) is the g.f. of A000108; a(n) = Sum_{k, 0<=k<=n} A106566(n, k)*8^k.
a(n)=(64*a(n-1)-8*A000108(n-1))/7 . a(n) = Sum_[k, 0<=k<=n} A039599(n,k)*7^k . a(n) = Sum_{k, 0<=k<=n} A106566(n,k)*8^k . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 13 2007
|
|
CROSSREFS
|
Sequence in context: A055275 A155198 A147840 this_sequence A078995 A082414 A145303
Adjacent sequences: A115967 A115968 A115969 this_sequence A115971 A115972 A115973
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Feb 03 2006
|
|
|
Search completed in 0.002 seconds
|
