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%I #24 Sep 18 2022 12:36:42
%S 1,-5,1,40,-15,1,-440,235,-30,1,6170,-4200,775,-50,1,-105315,86020,
%T -20475,1925,-75,1,2120610,-2001055,577570,-70525,4025,-105,1,
%U -49242470,52305780,-17609620,2623145,-195300,7490,-140,1,1296133195,-1520815230,581516560,-101595060,9264045,-464940,12810,-180,1
%N Triangle read by rows: matrix 5th power of the Stirling-1 triangle A008275.
%H Seiichi Manyama, <a href="/A039817/b039817.txt">Rows n = 1..140, flattened</a>
%F E.g.f. of k-th column: ((log(1+log(1+log(1+log(1+log(1+x))))))^k)/k!.
%e Triangle begins:
%e 1;
%e -5, 1;
%e 40, -15, 1;
%e -440, 235, -30, 1;
%e 6170, -4200, 775, -50, 1;
%e -105315, 86020, -20475, 1925, -75, 1;
%e ...
%t Flatten[Table[SeriesCoefficient[(Log[1+Log[1+Log[1+Log[1+Log[1+x]]]]])^k,{x,0,n}] n!/k!, {n,9}, {k,n}]] (* _Stefano Spezia_, Sep 12 2022 *)
%Y Cf. A000359 (first column), A008275.
%Y Cf. A039813, A039814, A039815, A039816.
%K sign,tabl
%O 1,2
%A _Christian G. Bower_, Feb 15 1999
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