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A052342
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Shifts left under Stirling-Bernoulli transform.
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1
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1, 1, 0, -2, 6, 250, -27090, -20110502, 100802987166, 4068016202512330, -1476018746725429261650, -5356258014516256268708458502, 213804326403655009107321872257070526, 102412631111025007566217285932140576241712810
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OFFSET
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0,4
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LINKS
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FORMULA
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Stirling-Bernoulli transform sends a to b where b(n) = Sum_{i=0..n} (-1)^i*i!*S(n+1, i+1)*b(i).
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MAPLE
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a:= proc(n) option remember; `if`(n<1, 1,
add((-1)^k*k!*Stirling2(n, k+1)*a(k), k=0..n-1))
end:
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MATHEMATICA
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a[n_] := a[n] = If[n<1, 1, Sum[(-1)^k*k!*StirlingS2[n, k+1]*a[k], {k, 0, n-1}]];
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CROSSREFS
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KEYWORD
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sign,eigen
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AUTHOR
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STATUS
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approved
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