|
| |
|
|
A067001
|
|
Triangle T(n,k) = d(n-k,k), 0 <= k <= n, where d(l,m) = sum_{k=l..m} 2^k * binomial(2m-2k,m-k) * binomial(m+k,m)* binomial(k,l).
|
|
0
| |
|
|
1, 4, 6, 24, 60, 42, 160, 560, 688, 308, 1120, 5040, 8760, 7080, 2310, 8064, 44352, 99456, 114576, 68712, 17556, 59136, 384384, 1055040, 1572480, 1351840, 642824, 134596, 439296, 3294720, 10695168, 19536000, 21778560, 14912064
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
REFERENCES
| V. H. Moll. The evaluation of integrals: a personal story, Notices Amer. Math. Soc., 49 (No. 3, March 2002), 311-317.
|
|
|
MAPLE
| d := proc(l, m) local k; add(2^k*binomial(2*m-2*k, m-k)*binomial(m+k, m)*binomial(k, l), k=l..m); end;
|
|
|
CROSSREFS
| Sequence in context: A098660 A122174 A034458 * A057343 A000287 A032087
Adjacent sequences: A066998 A066999 A067000 * A067002 A067003 A067004
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Feb 16 2002
|
| |
|
|
