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.
%I A015009 #31 Jul 06 2025 10:12:30 %S A015009 1,1,11,1221,1356531,15072415941,1674711207620451, %T A015009 1860790044610366931061,20675444733360738721748118771, %U A015009 2297271634742810443154153338805764581,2552524038347870310755413660544832496799359491,28361378203581611893021499527080870668821235178133404501 %N A015009 q-factorial numbers for q=10. %H A015009 Vincenzo Librandi, <a href="/A015009/b015009.txt">Table of n, a(n) for n = 0..40</a> %H A015009 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>. %F A015009 a(n) = Product_{k=1..n} (q^k - 1)/(q - 1) with q=10. %F A015009 a(0) = 1, a(n) = (10^n - 1)*a(n-1)/9. - _Vincenzo Librandi_, Oct 26 2012 %F A015009 From _Amiram Eldar_, Jul 05 2025: (Start) %F A015009 a(n) = Product_{k=1..n} A002275(k). %F A015009 a(n) ~ c * 10^(n*(n+1)/2)/9^n, where c = A132038. (End) %t A015009 RecurrenceTable[{a[1]==1, a[n]==((10^n-1) * a[n-1])/9}, a, {n, 15}] (* _Vincenzo Librandi_, Oct 26 2012 *) %t A015009 Table[QFactorial[n, 10], {n, 15}] (* _Bruno Berselli_, Aug 14 2013 *) %o A015009 (Magma) [n le 1 select 1 else (10^n-1)*Self(n-1)/9: n in [1..15]]; // _Vincenzo Librandi_, Oct 26 2012 %Y A015009 Cf. A015001, A015002, A015004, A015005, A015006, A015007, A015008, A015011. %Y A015009 Column q=10 of A069777. %Y A015009 Cf. A002275, A132038. %K A015009 nonn,easy %O A015009 0,3 %A A015009 _Olivier Gérard_ %E A015009 a(0)=1 prepended by _Alois P. Heinz_, Sep 08 2021