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

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Last modified January 22 12:55 EST 2022. Contains 350481 sequences. (Running on oeis4.)