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A226506 a(n) = B(n+2)-3*B(n+1)+B(n), where B(i) are the Bell numbers A000110. 2
0, 0, 2, 12, 62, 320, 1712, 9604, 56674, 351792, 2293862, 15682216, 112179608, 837905016, 6522165834, 52807401908, 443962338894, 3869376656384, 34908008426360, 325530083655692, 3133830448212442, 31106728455899128, 318009567467999574, 3344865730200667832, 36161434396223563504 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

B. Chern, P. Diaconis, D. M. Kane, R. C. Rhoades, Closed expressions for averages of set partition statistics, http://math.stanford.edu/~rhoades/FILES/setpartitions.pdf, 2013.

LINKS

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

MATHEMATICA

Table[BellB[n+2] - 3 BellB[n+1] + BellB[n], {n, 0, 30}] (* Vincenzo Librandi, Jul 16 2013 *)

PROG

(MAGMA) [Bell(n+2)-3*Bell(n+1)+Bell(n): n in [0..30]]; // Vincenzo Librandi, Jul 16 2013

CROSSREFS

Cf. A000110.

Cf. A005493, A225591 (see Prop 3.1 (i) in Chern et al. link).

Sequence in context: A125831 A121177 A289787 * A026076 A231025 A272363

Adjacent sequences:  A226503 A226504 A226505 * A226507 A226508 A226509

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 10 2013

STATUS

approved

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Last modified November 13 20:57 EST 2019. Contains 329106 sequences. (Running on oeis4.)