0,4

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).

Eugene Jahnke and Fritz Emde, Table of Functions with Formulae and Curves, Dover Books, New York, 1945, page 32

L. Moser and M. Wyman, On solutions of x^d = 1 in symmetric groups, Canad. J. Math., 7 (1955), 159-168.

a(n)=-h(n, -1) where h(n, x) is the Hermite polynomial h(n, x)=sum(k=0, floor(n/2), (-1)^k*binomial(n, 2*k)*prod(i=0, k, 2*i-1)*x^(n-2*k)) - Benoit Cloitre (benoit7848c(AT)orange.fr), May 01 2003

a(n)=(-1)^(n+1)*sum(k=0, floor(n/2), (-1)^k*C(n, 2*k)*(2k-1)!!) - Benoit Cloitre (benoit7848c(AT)orange.fr), May 01 2003

a(0)=1, a(1)=-1; a(n)=-a(n-1)-(n-1)*a(n-2) - Matthew J. White (mattjameswhite(AT)hotmail.com), Mar 01 2006

Signed row sums of Hermite polynomials p(k, x) = x*p(k - 1, x) - (n - 1)*p(k - 2, x). - Roger Bagula (rlbagulatftn(AT)yahoo.com), Oct 06 2006

p[0, x] = 1; p[1, x] = x; p[k_, x_] := p[k, x] = x*p[k - 1, x] - (n - 1)*p[k - 2, x]; Table[Expand[p[n, x]], {n, 0, 10}]; Table[Sum[CoefficientList[p[n, x], x][[m]], {m, 1, Length[CoefficientList[p[ n, x], x]]}], {n, 0, 15}]; - Roger Bagula (rlbagulatftn(AT)yahoo.com), Oct 06 2006

Cf. A099174, A000085, A066325.

Sequence in context: A142471 A071208 A083555 this_sequence A067136 A034439 A060165

Adjacent sequences: A001461 A001462 A001463 this_sequence A001465 A001466 A001467

sign,easy

N. J. A. Sloane (njas(AT)research.att.com), J. H. Conway and Simon Plouffe

13th and 14-th terms corrected by Simon Plouffe (simon.plouffe(AT)gmail.com)