A002302 Generalized tangent numbers. (Formerly M2093 N0828)

2, 16, 136, 1232, 12096, 129024, 1491840, 18627840, 250145280, 3597834240, 55212917760, 900842342400, 15575854694400, 284549942476800, 5477586392678400, 110832202594713600, 2351805274570752000

Offset

3,1

References

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

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

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

Links

Table of n, a(n) for n=3..19.

Prog

(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: A264333 A001252 A067058 * A378461 A348803 A369580

Adjacent sequences: A002299 A002300 A002301 * A002303 A002304 A002305

Keyword

nonn

Author

N. J. A. Sloane

Extensions

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

Status

approved