|
|
A110671
|
|
Sequence is {a(6,n)}, where a(m,n) is defined at sequence A110665.
|
|
4
|
|
|
0, 1, 6, 18, 34, 39, 6, -97, -300, -633, -1138, -1881, -2952, -4452, -6480, -9135, -12534, -16830, -22212, -28886, -37056, -46926, -58724, -72726, -89256, -108661, -131286, -157476, -187606, -222111, -261486, -306255, -356940, -414063, -478182, -549927, -630000, -719138, -818076
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
Empirical g.f.: -x*(2*x-1) / ((x-1)^6*(x^2-x+1)^2). - Colin Barker, Jul 02 2014
|
|
EXAMPLE
|
a(0,n): 0, 1, 0, -3, -4,...
a(1,n): 0, 1, 1, -2, -6,...
a(2,n): 0, 1, 2, 0, -6,...
a(3,n): 0, 1, 3, 3, -3,...
a(4,n): 0, 1, 4, 7, 4,...
Main diagonal of array is 0, 1, 2, 3, 4,...
|
|
MAPLE
|
A11066x := proc(mmax, nmax) local a, i, j ; a := array(0..mmax, 0..nmax) ; a[0, 0] := 0 ; for i from 1 to nmax do a[0, i] := i-sum(binomial(2*i-k-1, i-1)*a[0, k], k=0..i-1) : od ; for j from 1 to mmax do a[j, 0] := 0 ; for i from 1 to nmax do a[j, i] := a[j-1, i]+a[j, i-1] ; od ; od ; RETURN(a) ; end : nmax := 100 : m := 6: a := A11066x(m, nmax) : for n from 0 to nmax do printf("%d, ", a[m, n]) ; od ; # R. J. Mathar, Sep 01 2006
|
|
MATHEMATICA
|
a[_, 0] = 0;
a[0, n_] := a[0, n] = If[n < 3, {0, 1, 0}[[n+1]], (n((n-2)a[0, n-1] - (n-1)a[0, n-2]))/((n-1)(n-2))];
a[m_, n_] := a[m, n] = a[m-1, n] + a[m, n-1];
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|