A001626 Number of 3-line Latin rectangles.

0, 0, 2, 36, 840, 29680, 1429920, 90318144, 7237943552, 717442928640, 86171602072320, 12331048749268480, 2072725870491859968, 404352831489304049664, 90605920564322676531200, 23110943021722435879157760, 6657484407493222296916131840

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

References

• S. M. Jacob, The enumeration of the Latin rectangle of depth three..., Proc. London Math. Soc., 31 (1928), 329-336.
• 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

• S. M. Jacob, The enumeration of the Latin rectangle of depth three..., Proc. London Math. Soc., 31 (1928), 329-336.
• 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

Crossrefs

Cf. A000186.

Formula

a(1) = 0, a(n) = A000186(n) + 2*(n-1)*a(n-1), n > 1. - Sean A. Irvine, Sep 25 2015

Extensions

More terms from Sean A. Irvine, Sep 25 2015