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 A015011 q-factorial numbers for q=11. 2

%I

%S 1,12,1596,2336544,37630041120,6666387564654720,

%T 12990902775831251994240,278471536921607824648305285120,

%U 65662131721505488121539650946349537280,170310659060181679663863033233125976844488908800,4859161865915056755501262525796512204608930674134393036800

%N q-factorial numbers for q=11.

%H Vincenzo Librandi, <a href="/A015011/b015011.txt">Table of n, a(n) for n = 1..40</a>

%H <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>

%F a(n) = product_{k=1..n} (11^k - 1) / (11 - 1).

%F a(1) = 1, a(n) = (11^n - 1)*a(n-1)/10. - _Vincenzo Librandi_, Oct 26 2012

%t RecurrenceTable[{a[1]==1, a[n]==((11^n - 1) * a[n-1])/10}, a, {n, 15}] (* _Vincenzo Librandi_, Oct 26 2012 *)

%t Table[QFactorial[n, 11], {n, 11}] (* _Bruno Berselli_, Aug 14 2013 *)

%o (MAGMA) [n le 1 select 1 else (11^n-1)*Self(n-1)/10: n in [1..15]]; // _Vincenzo Librandi_, Oct 26 2012

%K nonn,easy

%O 1,2