A001627 Related to Latin rectangles. (Formerly M2165 N0862)

1, 0, 2, 44, 1008, 34432, 1629280, 101401344, 8030787968, 788377273856, 93933191303424, 13350759115563520, 2231133728986759168, 433075048506207645696, 96617322164029448916992, 24549315871469898190266368, 7047652261245574026565877760

Offset

1,3

References

S. M. Kerawala, The enumeration of the Latin rectangle of depth three by means of a difference equation, Bull. Calcutta Math. Soc., 33 (1941), 119-127.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..17.

Index entries for sequences related to Latin squares and rectangles

Formula

a(1) = 1, a(n) = A000186(n) + A000186(n-1) + 3*(n-1)*A001626(n-1). - Sean A. Irvine, Sep 25 2015

Crossrefs

Sequence in context: A285746 A203606 A009620 * A202747 A094397 A213067

Adjacent sequences: A001624 A001625 A001626 * A001628 A001629 A001630

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Sep 25 2015

Status

approved