A027479 Triangle of the fourth power of the normalized, unsigned Stirling matrix of the first kind.

1, 15, 1, 1175, 120, 1, 294330, 36935, 510, 1, 181082204, 25816200, 460035, 1560, 1, 231844265940, 36133755364, 757122975, 3411835, 3885, 1, 551220029003580, 91850446178400, 2159098539409, 11690792400, 18037810, 8400, 1, 2239429013789400720, 393327895035809180, 10088942720014620, 62324463343569, 117282133080, 75042450, 16380, 1

Offset

1,2

Links

Table of n, a(n) for n=1..36.

Example

First rows of the triangle are:
          1;
         15,        1;
       1175,      120,      1;
     294330,    36935,    510,    1;
  181082204, 25816200, 460035, 1560, 1;
  ...

Mathematica

Module[{nmax=8, m}, m=(Table[Table[(-1)^(i+j) StirlingS1[i, j]/i!, {j, 1, nmax}], {i, 1, nmax}]); m=m.m.m.m*Table[i!^4, {i, 1, nmax}]; Flatten[Table[Table[m[[i, j]], {j, 1, i}], {i, 1, nmax}], 1]]

Crossrefs

Cf. A027477 (second-order triangle), A027478 (third-order triangle).

Sequence in context: A027448 A027518 A027539 * A027497 A040221 A040220

Adjacent sequences: A027476 A027477 A027478 * A027480 A027481 A027482

Keyword

nonn,tabl,easy

Author

Olivier Gérard

Extensions

Definition, formula and program edited for clarity by Olivier Gérard, Jan 20 2019

Status

approved