A001279 Number of permutations of length n by rises. (Formerly M3159 N1279)

3, 53, 680, 8064, 96370, 1200070, 15778800, 220047400, 3257228485, 51125192475, 849388162448, 14905775547488, 275697902983860, 5362979000259804, 109488815508733440, 2341353038132316240, 52346701837709016375, 1221458048752142672625, 29697803502485749344120, 751211166036942984639200

Offset

6,1

References

F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 264.

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=6..25.

Formula

a(n) = A136123(n,3). - Emeric Deutsch and Vladeta Jovovic, Dec 17 2007

Conjecture D-finite with recurrence 3*(-n+6)*a(n) +(3*n^2-23*n+67)*a(n-1) +(5*n^2-58*n+179)*a(n-2) +(n^2-51*n+128)*a(n-3) +(-17*n^2+183*n-364)*a(n-4) -4*(n-4)*(n-11)*a(n-5) +12*(n-4)*(n-5)*a(n-6)=0. - R. J. Mathar, Jul 01 2022

Crossrefs

Sequence in context: A121504 A099665 A173802 * A092447 A167217 A203561

Adjacent sequences: A001276 A001277 A001278 * A001280 A001281 A001282

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Vladeta Jovovic, Nov 21 2007

Status

approved