The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A065547 Triangle of Salie numbers. 16
 1, 0, 1, 0, -1, 1, 0, 3, -3, 1, 0, -17, 17, -6, 1, 0, 155, -155, 55, -10, 1, 0, -2073, 2073, -736, 135, -15, 1, 0, 38227, -38227, 13573, -2492, 280, -21, 1, 0, -929569, 929569, -330058, 60605, -6818, 518, -28, 1, 0, 28820619, -28820619, 10233219, -1879038, 211419, -16086, 882, -36, 1, 0, -1109652905 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS Coefficients of polynomials H(n,x) related to Euler polynomials through H(n,x(x-1)) = E(2n,x). LINKS D. Dumont and J. Zeng, Polynomes d'Euler et les fractions continues de Stieltjes-Rogers, Ramanujan J. 2 (1998) 3, 387-410. J. M. Hammersley, An undergraduate exercise in manipulation, Math. Scientist, 14 (1989), 1-23. Ira M. Gessel and X. G. Viennot, Determinants, paths and plane partitions, 1989, p. 27, eqn 12.1. A. F. Horadam, Generation of Genocchi polynomials of first order by recurrence relation, Fib. Quart. 2 (1992), 239-243. FORMULA E.g.f.: Sum((n, k=0..inf) T(n, k) t^k x^(2n)/(2n)! = cosh(sqrt(1+4t) x/2)/ cosh(x/2). T(k, n) = Sum[i=0..n-k, A028296(i)/4^(n-k)*C(2n, 2i)*C(n-l, n-k-l)], or 0 if n=0} (-1)^(n+k)*2^(n-k)*T(n, k) = A005647(n). Sum_{k>=0} (-1)^(n+k)*2^(2n-k)*T(n, k) = A000795(n). Sum_{k>=0} (-1)^(n+k)*T(n, k) = A006846(n), where A006846 = Hammersley's polynomial p_n(1). - Philippe Deléham, Feb 26 2004. Column sequences (without leading zeros) give, for k=1..10: A065547 (twice), A095652-9. Cf. A000795, A005647, A000035. See A085707 for unsigned and transposed version. See A098435 for negative values of n, k. Sequence in context: A264436 A122850 A132062 * A143333 A283798 A065551 Adjacent sequences:  A065544 A065545 A065546 * A065548 A065549 A065550 KEYWORD sign,tabl AUTHOR Wouter Meeussen, Dec 02 2001 EXTENSIONS Edited by Ralf Stephan, Sep 08 2004 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 2 07:40 EST 2020. Contains 338868 sequences. (Running on oeis4.)