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A027479 Triangle of the fourth power of the normalized, unsigned Stirling matrix of the first kind. 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified April 3 22:48 EDT 2020. Contains 333207 sequences. (Running on oeis4.)