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A002302 Generalized tangent numbers.
(Formerly M2093 N0828)
+0
1
2, 16, 136, 1232, 12096, 129024, 1491840, 18627840, 250145280, 3597834240, 55212917760, 900842342400, 15575854694400, 284549942476800, 5477586392678400, 110832202594713600, 2351805274570752000 (list; graph; listen)
OFFSET

3,1

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+4, n)", ")) - Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 20 2006

CROSSREFS

Sequence in context: A037622 A001252 A067058 this_sequence A056662 A151402 A003768

Adjacent sequences: A002299 A002300 A002301 this_sequence A002303 A002304 A002305

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 25 08:46 EST 2009. Contains 167481 sequences.


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