A002634 From discordant permutations.

-2, 3, 0, 25, 152, 1350, 12644, 131391, 1489568, 18329481, 243365514, 3468969962, 52848096274, 857073295427, 14744289690560, 268202790690465, 5143861702523924, 103746422699053582, 2195275169113687656, 48629604864202585247

Offset: 3

Author

N. J. A. Sloane

Keywords

• sign

References

• 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

• K. Yamamoto, Structure polynomial of Latin rectangles and its application to a combinatorial problem, Memoirs of the Faculty of Science, Kyusyu University, Series A, 10 (1956), 1-13, DOI: 10.2206/kyushumfs.10.1
• K. Yamamoto, Structure polynomial of Latin rectangles and its application to a combinatorial problem, Memoirs of the Faculty of Science, Kyusyu University, Series A, 10 (1956), 1-13. [Annotated scanned copy]

Crossrefs

Cf. A000183.

Formula

a(n) = b(n) - 2*b(n-1) + b(n-2) + 2*a(n-1) + 2*a(n-2) - 2*a(n-3) + a(n-4) + 4*(-1)^n where b(n) = A000183(n) and n>6. a(3)=-2, a(4)=3, a(5)=0, a(6)=25. - Sean A. Irvine, May 03 2014

Extensions

More terms from Sean A. Irvine, May 03 2014