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A052342 Shifts left under Stirling-Bernoulli transform. 1
1, 1, 0, -2, 6, 250, -27090, -20110502, 100802987166, 4068016202512330, -1476018746725429261650, -5356258014516256268708458502, 213804326403655009107321872257070526, 102412631111025007566217285932140576241712810 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
Stirling-Bernoulli transform sends a to b where b(n) = Sum_{i=0..n} (-1)^i*i!*S(n+1, i+1)*b(i).
MAPLE
a:= proc(n) option remember; `if`(n<1, 1,
add((-1)^k*k!*Stirling2(n, k+1)*a(k), k=0..n-1))
end:
seq(a(n), n=0..15); # Alois P. Heinz, May 17 2013
MATHEMATICA
a[n_] := a[n] = If[n<1, 1, Sum[(-1)^k*k!*StirlingS2[n, k+1]*a[k], {k, 0, n-1}]];
Table[a[n], {n, 0, 15}] (* Jean-François Alcover, Sep 01 2022, after Alois P. Heinz *)
CROSSREFS
Sequence in context: A206033 A181772 A183398 * A199125 A232696 A007190
KEYWORD
sign,eigen
AUTHOR
Christian G. Bower, Jan 09 2000
STATUS
approved

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)