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A253094 Related to residues of poles of moment function for random walks in 6 dimensions. 1
1, -5, 6, 2, 6, 18, 66, 278, 1296, 6528, 34950, 196578, 1151610, 6981102, 43570170, 278841438, 1823991630, 12162884778, 82498605594, 568140045918, 3966323992074, 28032955095198, 200355706872054, 1446628270673682, 10542888272710224, 77496225169484448 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..25.

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

FORMULA

n*(n+2)*a(n) + 5*(-2*n^2+6*n-1)*a(n-1) + 9*(n-3)*(n-5)*a(n-2) = 0. - R. J. Mathar, Jun 14 2015

MAPLE

A253094 := proc(k)

    option remember;

    local nu, kno ;

    nu := 2;

    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(A253094(k), k=0..40) ; # R. J. Mathar, Jun 14 2015

CROSSREFS

Sequence in context: A091873 A038690 A154801 * A217015 A107825 A201332

Adjacent sequences:  A253091 A253092 A253093 * A253095 A253096 A253097

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Feb 16 2015

STATUS

approved

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Last modified May 11 06:13 EDT 2021. Contains 343784 sequences. (Running on oeis4.)