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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

Table of n, a(n) for n=1..13.

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

Adjacent sequences:  A013698 A013699 A013700 * A013702 A013703 A013704

KEYWORD

nonn,easy

AUTHOR

Joachim.Rosenthal(AT)nd.edu (Joachim Rosenthal)

STATUS

approved

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Last modified July 2 07:13 EDT 2020. Contains 335398 sequences. (Running on oeis4.)