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A133712 Column l=5 of irregular triangle in A133709. 2

%I #12 Apr 03 2020 07:53:18

%S 0,0,420,15225,185031,1438906,8689306,44352346,200070606,818907792,

%T 3093635652,10914809127,36278256537,114357327402,343708626298,

%U 989318816383,2737219679833,7302776865288,18839417766108,47108352127209,114421884019959

%N Column l=5 of irregular triangle in A133709.

%p A133712 := proc(m)

%p A133709(m,5) ;

%p end proc:

%p seq(A133712(m),m=1..30) ; # _R. J. Mathar_, Nov 23 2011

%t T[m_, l_] := T[m, l] = If[l == 1, 1, Sum[(-1)^i Binomial[l, i]* Binomial[2^(l - i) + m - 2, m], {i, 0, l - 1}] - Sum[StirlingS2[l, i]* T[m, i], {i, 1, l - 1}]];

%t Table[T[m, 5], {m, 1, 30}] (* _Jean-François Alcover_, Apr 03 2020 *)

%Y Cf. A133709.

%K nonn

%O 1,3

%A _N. J. A. Sloane_, Dec 30 2007

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Last modified August 31 12:09 EDT 2024. Contains 375560 sequences. (Running on oeis4.)