A054577 A Catalan-like sequence.

0, 1, 4, 11, 36, 115, 381, 1287, 4420, 15396, 54264, 193154, 693373, 2507287, 9124560, 33393355, 122821380, 453756765, 1683107800, 6265751310, 23402516280, 87670790155, 329337229104, 1240292449350, 4681874312509

Offset

1,3

References

Felix Goldberg, A problem relating to a family of Catalan-like sequences, forthcoming.

Links

Table of n, a(n) for n=1..25.

Formula

a(n) = Floor( 1/(n+k)*C(pn, n) ), where k=2, p=2.

Example

a(6)=115 because 1/(6+2)*C(12,6) is 115.5 and taking the floor we obtain 115.

Crossrefs

Cf. A000108, A054542.

Sequence in context: A339034 A114248 A149237 * A206687 A106640 A109268

Adjacent sequences: A054574 A054575 A054576 * A054578 A054579 A054580

Keyword

nonn

Author

Felix Goldberg (sgefelix(AT)t2.technion.ac.il), Apr 11 2000

Extensions

More terms from James A. Sellers, Apr 12 2000

Status

approved