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A002302 Generalized tangent numbers.
(Formerly M2093 N0828)
1

%I M2093 N0828 #16 Oct 14 2023 23:53:25

%S 2,16,136,1232,12096,129024,1491840,18627840,250145280,3597834240,

%T 55212917760,900842342400,15575854694400,284549942476800,

%U 5477586392678400,110832202594713600,2351805274570752000

%N Generalized tangent numbers.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%D Letterio Toscano, Sulla Derivata di Ordinen della Funzione tg(x), Tohoku Math. J., 42 (1936), 144-154.

%o (PARI) a(n, k)=if(k<0,0,if(n==1 && k==1,1,if(k>n,0,(k-1)*a(n-1,k-1)+(k+1)*a(n-1,k+1)))) for(n=0,25,print1(a(n+4, n)",")) \\ Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 20 2006

%K nonn

%O 3,1

%A _N. J. A. Sloane_

%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 20 2006

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)