|
Search: id:A056198
|
|
|
| A056198 |
|
Defined by Product 1/(1-x^k)^a_k, k=1..inf = 1+x+2*Sum(a_k*x^k, k=2..inf). |
|
+0
1
|
|
| 1, 2, 3, 9, 24, 76, 236, 785, 2634, 9106, 31870, 113371, 407438, 1479526, 5415700, 19970119, 74096864, 276466199, 1036598162, 3903844089, 14760093096, 56006631629, 213206289068, 814045174247, 3116569685906, 11961635892951
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
MAPLE
|
a := [1, 2]; for n from 3 to 30 do L := series( mul( (1-x^k)^(-a[k]), k=1..n-1)/(1-x^n)^b, x, n+1); t1 := coeff(L, x, n); R := series( 1+x+2*add(a[k]*x^k, k=2..n-1)+2*b*x^n, x, n+1); t2 := coeff(R, x, n); t3 := solve(t1-t2, b); a := [op(a), t3]; od: A056198 := n->a[n];
|
|
CROSSREFS
|
Recurrence suggested by that for A000669.
Sequence in context: A089421 A151825 A111240 this_sequence A143742 A038523 A096237
Adjacent sequences: A056195 A056196 A056197 this_sequence A056199 A056200 A056201
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Aug 05 2000
|
|
|
Search completed in 0.002 seconds
|
