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A104985
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Row sums of triangle A104984.
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2
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1, 0, -2, -6, -20, -92, -554, -4002, -33096, -306440, -3135766, -35134670, -427878628, -5628940084, -79572364498, -1203168642362, -19379896959776, -331331041788640, -5993029816637262, -114348894263852326, -2295445815821635932, -48362099044178487564
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OFFSET
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0,3
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COMMENTS
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LINKS
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FORMULA
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MATHEMATICA
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a[n_]:= Sum[A104984[n, k], {k, 0, n}];
Table[a[n], {n, 0, 30}] (* _G. C. Greubel_, Jun 07 2021 *)
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PROG
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(PARI) {a(n)=sum(k=0, n, if(k==n, 1, if(k==n-1, -n, -polcoeff((1-1/sum(i=0, n-k, i!*x^i))/x+O(x^(n-k)), n-k-1) )))}
(Sage)
@CachedFunction
def T(n, k):
if (k==n): return 1
elif (k==n-1): return -n
else: return -factorial(n-k) - sum( factorial(j)*T(n-k-j, 0) for j in (1..n-k-1) )
[sum(T(n, k) for k in (0..n)) for n in (0..30)] # _G. C. Greubel_, Jun 07 2021
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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_Paul D. Hanna_, Apr 10 2005
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STATUS
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approved
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