|
Search: id:A096045
|
|
|
| A096045 |
|
a(n)=B(2n,2)/B(2n) (see comment). |
|
+0
13
|
|
| 1, 10, 46, 190, 766, 3070, 12286, 49150, 196606, 786430, 3145726, 12582910, 50331646, 201326590, 805306366, 3221225470, 12884901886, 51539607550, 206158430206, 824633720830, 3298534883326, 13194139533310, 52776558133246
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
B(n,p)=sum(i=0,n,p^i*sum(j=0,i,binomial(n,j)*B(j))) where B(k)=k-th Bernoulli number
|
|
FORMULA
|
a(n)=3*4^n-2; a(0)=1 a(1)=10 and a(n)=5*a(n-1)-4*a(n-2)
a(n)=4a(n-1)+6. First differences = A002063(n). - Paul Curtz (bpcrtz(AT)free.fr), Jul 07 2008
|
|
PROGRAM
|
(PARI) a(n)=sum(i=0, 2*n, 2^i*sum(j=0, i, binomial(2*n, j)*bernfrac(j)))/bernfrac(2*n)
|
|
CROSSREFS
|
Cf. A096046, A096047, A096048.
Sequence in context: A024166 A103501 A003197 this_sequence A115712 A003765 A138041
Adjacent sequences: A096042 A096043 A096044 this_sequence A096046 A096047 A096048
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 17 2004
|
|
|
Search completed in 0.002 seconds
|
