A001626 - OEIS

A001626

Number of 3-line Latin rectangles.
(Formerly M2158 N0860)

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

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OFFSET

1,3

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

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

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

FORMULA

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

CROSSREFS

Cf. A000186.

Sequence in context: A112036 A336714 A093530 * A166473 A279575 A009539

Adjacent sequences: A001623 A001624 A001625 * A001627 A001628 A001629

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Sean A. Irvine, Sep 25 2015

STATUS

approved