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A036081 The number of partitions of {1..(11n)} that are invariant under a permutation consisting of n 11-cycles. 2
1, 2, 16, 202, 3044, 52794, 1055260, 24081754, 615896308, 17347970202, 531721375308, 17595339114554, 624882463734756, 23691503493287738, 954301756159098172, 40665568780962213530, 1826521141853468785364 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Original name: Sorting numbers.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

T. S. Motzkin, Sorting numbers for cylinders and other classification numbers, in Combinatorics, Proc. Symp. Pure Math. 19, AMS, 1971, pp. 167-176. [Annotated, scanned copy]

OEIS Wiki, Sorting numbers

Index entries for sequences related to sorting

FORMULA

E.g.f.: exp((exp(p*x)-p-1)/p+exp(x)) for p=11.

MATHEMATICA

u[0, j_]: = 1; u[k_, j_]: = u[k, j] = Sum[Binomial[k-1, i-1]Plus@@(u[k-i, j]#^(i-1)&/@Divisors[j]), {i, k}]; Table[u[n, 11], {n, 0, 30}] (* Vincenzo Librandi, Dec 12 2012 - after Wouter Meeussen in similar sequences *)

mx = 16; p = 11; Range[0, mx]! CoefficientList[ Series[ Exp[ (Exp[p*x] - p - 1)/p + Exp[x]], {x, 0, mx}], x] (* Robert G. Wilson v, Dec 12 2012 *)

CROSSREFS

Cf. A001861, A002872, A002873, A002874, A002875, A036074.

Column 11 of A162663.

Sequence in context: A012677 A158212 A300456 * A303673 A161568 A138429

Adjacent sequences:  A036078 A036079 A036080 * A036082 A036083 A036084

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

New name from Danny Rorabaugh, Oct 24 2015

STATUS

approved

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Last modified October 15 22:25 EDT 2019. Contains 328038 sequences. (Running on oeis4.)