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A002303 Generalized tangent numbers.
(Formerly M5023 N2166)
+0
1
16, 272, 3968, 56320, 814080, 12207360, 191431680, 3149752320, 54428774400, 987559372800, 18797300121600, 374883257548800, 7822865085235200, 170560590520320000, 3879770715684864000, 91945674412720128000 (list; graph; listen)
OFFSET

4,1

REFERENCES

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

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

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

PROGRAM

(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+6, n)", ")) - Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 20 2006

CROSSREFS

Sequence in context: A144660 A158574 A000487 this_sequence A158610 A004382 A038758

Adjacent sequences: A002300 A002301 A002302 this_sequence A002304 A002305 A002306

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

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

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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