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A015015
q-factorial numbers for q=-3.
1
1, -2, -14, 280, 17080, -3108560, -1700382320, 2788627004800, 13722833490620800, -202576467988544249600, -8971504037808659182035200, 1191954026463258458925196672000, 475090227821752019816863814722432000
OFFSET
1,2
FORMULA
a(n) = product_{k=1..n} ((-3)^k - 1)/(-3 - 1).
a(1) = 1, a(n) = ((-3)^n - 1)*a(n-1)/(-4). - Vincenzo Librandi, Oct 26 2012
MATHEMATICA
RecurrenceTable[{a[1]==1, a[n]==(((-3)^n - 1) * a[n-1])/(-4)}, a, {n, 18}] (* Vincenzo Librandi, Oct 26 2012 *)
PROG
(Magma) [n le 1 select 1 else ((-3)^n - 1)*Self(n-1)/(-4): n in [1..18]]; // Vincenzo Librandi, Oct 26 2012
CROSSREFS
Sequence in context: A018803 A217474 A132695 * A355132 A355133 A128087
KEYWORD
sign,easy
STATUS
approved