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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

Alois P. Heinz, Table of n, a(n) for n = 0..40

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

CROSSREFS

Sequence in context: A206033 A181772 A183398 * A199125 A232696 A007190

Adjacent sequences:  A052339 A052340 A052341 * A052343 A052344 A052345

KEYWORD

sign,eigen

AUTHOR

Christian G. Bower, Jan 09 2000

STATUS

approved

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Last modified January 18 23:05 EST 2019. Contains 319282 sequences. (Running on oeis4.)