%I #27 Sep 08 2022 08:44:39

%S 1,1,11,1221,1356531,15072415941,1674711207620451,

%T 1860790044610366931061,20675444733360738721748118771,

%U 2297271634742810443154153338805764581,2552524038347870310755413660544832496799359491,28361378203581611893021499527080870668821235178133404501

%N q-factorial numbers for q=10.

%H Vincenzo Librandi, <a href="/A015009/b015009.txt">Table of n, a(n) for n = 0..40</a>

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

%F a(n) = Product_{k=1..n} (q^k - 1)/(q - 1) with q=10.

%F a(0) = 1, a(n) = (10^n - 1)*a(n-1)/9. - _Vincenzo Librandi_, Oct 26 2012

%t RecurrenceTable[{a[1]==1, a[n]==((10^n-1) * a[n-1])/9}, a, {n, 15}] (* _Vincenzo Librandi_, Oct 26 2012 *)

%t Table[QFactorial[n, 10], {n, 15}] (* _Bruno Berselli_, Aug 14 2013 *)

%o (Magma) [n le 1 select 1 else (10^n-1)*Self(n-1)/9: n in [1..15]]; // _Vincenzo Librandi_, Oct 26 2012

%Y Cf. A015001, A015002, A015004, A015005, A015006, A015007, A015008, A015011.

%Y Column q=10 of A069777.

%K nonn,easy

%O 0,3

%A _Olivier Gérard_

%E a(0)=1 prepended by _Alois P. Heinz_, Sep 08 2021