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A253093 Related to residues of poles of moment function for random walks in 4 dimensions. 1
1, -2, -2, -6, -24, -114, -606, -3486, -21258, -135582, -896046, -6095490, -42470280, -301938390, -2183873490, -16032229362, -119232361656, -896918310126, -6815685210078, -52262898201642, -404022890110872, -3146342571901278, -24666061437979938, -194550540203413314 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..23.

Jonathan M. Borwein, Armin Straub and Christophe Vignat, Densities of short uniform random walks, Part II: Higher dimensions, Preprint, 2015

FORMULA

n*(n+1)*a(n) +2*(-5*n^2+10*n-3)*a(n-1) +9*(n-2)*(n-3)*a(n-2)=0. - R. J. Mathar, Jun 14 2015

MAPLE

A253093 := proc(k)

    option remember;

    local nu, kno ;

    nu := 1;

    if k = -1 then

        0;

    elif k = 0 then

        1;

    else

        kno := k-1 ;

        procname(kno)/2*(20*(kno+1/2)^2-20*(kno+1/2)*nu-4*nu^2+1)-9*(kno-nu)*(kno-2*nu)*procname(kno-1) ;

        %/(kno+1)/(kno+nu+1) ;

    end if;

end proc:

seq(A253093(k), k=0..40) ; # R. J. Mathar, Jun 14 2015

CROSSREFS

Sequence in context: A093453 A301381 A342282 * A052660 A135407 A292831

Adjacent sequences:  A253090 A253091 A253092 * A253094 A253095 A253096

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Feb 16 2015

STATUS

approved

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Last modified May 8 02:26 EDT 2021. Contains 343652 sequences. (Running on oeis4.)