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A230236 Number of permutations of [n] in which the longest increasing run has length 10. 2
1, 20, 349, 5954, 103194, 1845480, 34288800, 663848640, 13406178240, 282398538240, 6201593613645, 141859542537845, 3376683552323421, 83546513273754977, 2146303277645066980, 57187254952684274700, 1578640101972070456800, 45101111852055549981600 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..200

FORMULA

E.g.f.: 1/Sum_{n>=0} (11*n+1-x)*x^(11*n)/(11*n+1)! - 1/Sum_{n>=0} (10*n+1-x)*x^(10*n)/(10*n+1)!.

a(n) = A230233(n) - A230232(n).

MAPLE

b:= proc(u, o, t, k) option remember; `if`(u+o=0, 1,

      `if`(t<k-1, add(b(u+j-1, o-j, t+1, k), j=1..o), 0)+

      add(b(u-j, o+j-1, 0, k), j=1..u))

    end:

a:= n-> b(n, 0, 0, 10)-b(n, 0, 0, 9):

seq(a(n), n=10..30);

CROSSREFS

Column k=10 of A008304.

Sequence in context: A268787 A272183 A005748 * A093144 A285393 A156455

Adjacent sequences:  A230233 A230234 A230235 * A230237 A230238 A230239

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 12 2013

STATUS

approved

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Last modified April 1 05:04 EDT 2020. Contains 333155 sequences. (Running on oeis4.)