A058298 Triangle n!/(n-k), 1 <= k < n, read by rows.

2, 3, 6, 8, 12, 24, 30, 40, 60, 120, 144, 180, 240, 360, 720, 840, 1008, 1260, 1680, 2520, 5040, 5760, 6720, 8064, 10080, 13440, 20160, 40320, 45360, 51840, 60480, 72576, 90720, 120960, 181440, 362880, 403200, 453600, 518400, 604800, 725760, 907200, 1209600, 1814400, 3628800

Offset

2,1

Comments

Together with 1, numbers n such that n divides k! if and only if k! >= n. - Charles R Greathouse IV, Aug 16 2016

Links

Andrew Howroyd, Table of n, a(n) for n = 2..1276

Florian Unger and Jonathan Krebs, MCMC Sampling of Directed Flag Complexes with Fixed Undirected Graphs, arXiv:2309.02938 [math.ST], 2023.

Example

Triangle begins:
      2;
      3,     6;
      8,    12,    24;
     30,    40,    60,   120;
    144,   180,   240,   360,   720;
    840,  1008,  1260,  1680,  2520,   5040;
   5760,  6720,  8064, 10080, 13440,  20160,  40320;
  45360, 51840, 60480, 72576, 90720, 120960, 181440, 362880;
  ...

Mathematica

Flatten[Table[n!/(n-k), {n, 2, 10}, {k, n-1}]] (* Harvey P. Dale, Jul 23 2014 *)

Prog

(PARI) T(n, k)={if(k<n, n!/(n-k), 0)} \\ Andrew Howroyd, Aug 08 2020

Crossrefs

Columns k=1..5 are A001048(n-1), A052747, A052759, A052778, A052794.

Row sums are A052881.

Cf. A077012.

Sequence in context: A085642 A270738 A049194 * A299758 A303703 A101136

Adjacent sequences: A058295 A058296 A058297 * A058299 A058300 A058301

Keyword

easy,tabl,nonn

Author

Leroy Quet, Dec 07 2000

Status

approved