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A110669 Sequence is {a(4,n)}, where a(m,n) is defined at sequence A110665. 4
0, 1, 4, 7, 4, -11, -38, -70, -100, -130, -172, -238, -328, -429, -528, -627, -744, -897, -1086, -1292, -1496, -1700, -1928, -2204, -2528, -2875, -3220, -3565, -3940, -4375, -4870, -5394, -5916, -6438, -6996, -7626, -8328, -9065, -9800, -10535, -11312, -12173, -13118, -14104, -15088, -16072, -17104 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
Empirical g.f.: -x*(2*x-1) / ((x-1)^4*(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 := 4: 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];
Table[a[4, n], {n, 0, 46}] (* Jean-François Alcover, Mar 29 2020 *)
CROSSREFS
Sequence in context: A094692 A059139 A329740 * A106027 A101159 A339948
KEYWORD
easy,sign
AUTHOR
Leroy Quet, Aug 02 2005
EXTENSIONS
More terms from R. J. Mathar, Sep 01 2006
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)