The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A013701 Degree of variety K_{2,n}^4. 4
1, 512, 75025, 7174454, 562110290, 39541748736, 2610763825782, 165745451110910, 10262482704258873, 625250747214775916, 37701606156514031251, 2258713106034310399852, 134810129909509070121060 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Number of Catalan paths (nonnegative, starting and ending at 0, step +/-1) of 6n+8 steps with all values less than or equal to n+1 (see A080934).
LINKS
M. S. Ravi et al., Dynamic pole assignment and Schubert calculus, SIAM J. Control Optimization, 34 (1996), 813-832, esp. p. 825.
PROG
(PARI) K(n, q=4)=(2*n+n*q+2*q)!*sum(j=0, q, ((q-2*j)*(n+2)+1)/(n+j*(n+2))!/(n+1+(q-j)*(n+2))!)
CROSSREFS
Cf. A013698 (q=1), A013699 (q=2), A013700 (q=3), A013702 (q=5).
Sequence in context: A107549 A186797 A183815 * A187461 A291461 A328200
KEYWORD
nonn,easy
AUTHOR
Joachim.Rosenthal(AT)nd.edu (Joachim Rosenthal)
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 26 03:59 EDT 2024. Contains 372807 sequences. (Running on oeis4.)