A001624 Related to Latin rectangles. (Formerly M4017 N1665)

1, 5, 58, 1274, 41728, 1912112, 116346400, 9059742176, 877746364288, 103483282967936, 14581464284095744, 2419278174185319680, 466730664414683625472, 103580258158369503481856, 26198788829773597178540032

Offset

2,2

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=2..16.

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. [Annotated scanned copy]

Index entries for sequences related to Latin squares and rectangles

Formula

a(2) = 1, a(n) = A001626(n) + A001626(n-1) + A001627(n-1) + (n-2)(a(n-1) + A001625(n-1)). - Sean A. Irvine, Sep 25 2015

Crossrefs

Sequence in context: A371329 A156326 A336258 * A267722 A096476 A158694

Adjacent sequences: A001621 A001622 A001623 * A001625 A001626 A001627

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Sep 25 2015

Status

approved