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 A276507 #19 Jul 27 2021 11:29:34 %S A276507 1,10,110,1310,16710,226510,3243110,48807310,768988710,12641850510, %T A276507 216229931110,3838516103310,70569453740710,1341065189434510, %U A276507 26298323383739110,531365183231239310,11047184452086972710,236029124143560378510,5176602413033115467110 %N A276507 E.g.f.: exp(10*(exp(x)-1)). %C A276507 Number of ways of placing n labeled balls into n unlabeled (but 10-colored) boxes. %H A276507 Alois P. Heinz, <a href="/A276507/b276507.txt">Table of n, a(n) for n = 0..510</a> %F A276507 G.f.: A(x) satisfies 10*(x/(1-x))*A(x/(1-x)) = A(x)-1; ten times the binomial transform equals this sequence shifted one place left. %p A276507 a:= proc(n) option remember; `if`(n=0, 1, %p A276507 (1+add(binomial(n-1, k-1)*a(n-k), k=1..n-1))*10) %p A276507 end: %p A276507 seq(a(n), n=0..25); # _Alois P. Heinz_, Sep 25 2017 %t A276507 Table[BellB[n, 10], {n, 0, 30}] %o A276507 (PARI) my(x='x+O('x^99)); Vec(serlaplace(exp(10*(exp(x)-1)))) \\ _Altug Alkan_, Sep 19 2016 %Y A276507 Cf. similar sequences listed in A276506. %K A276507 nonn %O A276507 0,2 %A A276507 _Vincenzo Librandi_, Sep 19 2016