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A129466
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Fourth column (m=3) sequence of triangle A129462 (v=2 member of a certain family).
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4
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1, 12, 208, 5208, 179688, 8175744, 472666752, 33625704960, 2858013642240, 281566521446400, 30978996781363200, 3583376917637529600, 374151199254884352000, 9777217907401555968000, -16608590925355066982400000, -10323797933882945175552000000
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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COMMENTS
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See A129462 for the M. Bruschi et al. reference.
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LINKS
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FORMULA
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MATHEMATICA
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T[n_, k_]:= T[n, k]= If[k<0 || k>n, 0, If[n==0, 1, (2*(n-1)*(n-2) - 1)*T[n-1, k] -((n-1)*(n-3))^2*T[n-2, k] +T[n-1, k-1]]]; (*T=A129462*)
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PROG
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(Magma)
if k lt 0 or k gt n then return 0;
elif n eq 0 then return 1;
else return (2*(n-1)*(n-2)-1)*T(n-1, k) - ((n-1)*(n-3))^2*T(n-2, k) + T(n-1, k-1);
end if;
end function;
(SageMath)
@CachedFunction
if (k<0 or k>n): return 0
elif (n==0): return 1
else: return (2*(n-1)*(n-2)-1)*T(n-1, k) - ((n-1)*(n-3))^2*T(n-2, k) + T(n-1, k-1)
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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