cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A015011 q-factorial numbers for q=11.

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%I A015011 #36 Jul 06 2025 10:12:37
%S A015011 1,1,12,1596,2336544,37630041120,6666387564654720,
%T A015011 12990902775831251994240,278471536921607824648305285120,
%U A015011 65662131721505488121539650946349537280,170310659060181679663863033233125976844488908800,4859161865915056755501262525796512204608930674134393036800
%N A015011 q-factorial numbers for q=11.
%H A015011 Vincenzo Librandi, <a href="/A015011/b015011.txt">Table of n, a(n) for n = 0..40</a>
%H A015011 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>.
%F A015011 a(n) = Product_{k=1..n} (11^k - 1) / (11 - 1).
%F A015011 a(0) = 1, a(n) = (11^n - 1)*a(n-1)/10. - _Vincenzo Librandi_, Oct 26 2012
%F A015011 From _Amiram Eldar_, Jul 05 2025: (Start)
%F A015011 a(n) = Product_{k=1..n} A016123(k-1).
%F A015011 a(n) ~ c * 11^(n*(n+1)/2)/10^n, where c = A132267. (End)
%t A015011 RecurrenceTable[{a[1]==1, a[n]==((11^n - 1) * a[n-1])/10}, a, {n, 15}] (* _Vincenzo Librandi_, Oct 26 2012 *)
%t A015011 Table[QFactorial[n, 11], {n, 11}] (* _Bruno Berselli_, Aug 14 2013 *)
%o A015011 (Magma) [n le 1 select 1 else (11^n-1)*Self(n-1)/10: n in [1..15]]; // _Vincenzo Librandi_, Oct 26 2012
%Y A015011 Cf. A015001, A015002, A015004, A015005, A015006, A015007, A015008, A015009.
%Y A015011 Column q=11 of A069777.
%Y A015011 Cf. A016123, A132267.
%K A015011 nonn,easy
%O A015011 0,3
%A A015011 _Olivier Gérard_
%E A015011 a(0)=1 prepended by _Alois P. Heinz_, Sep 08 2021