The sequence A000254

[Simon Plouffe]

Those numbers are (if I may) the second column of the Stirling Numbers,

also they are the numerators of the Harmonic numbers.

A000254 (MuPAD) f:=proc(n) begin n*f(n-1)+fact(n-1) end_proc: f(1):=1:
A000254 1,2
A000254 1,3,11,50,274,1764,13068,109584,1026576,10628640,120543840,
A000254 1223405590579200,22376988058521600,431565146817638400
A000254 1486442880,19802759040,283465647360,4339163001600,70734282393600,
A000254 AS1 833. DKB 226.
A000254 Expansion of ln(1+x)^2. Also a(n) = n!*Sum 1/i, i=1..n.
A000254 M2902 N1165
A000254 Stirling numbers of first kind: a(n+1)=(n+1)*a(n)+n!.
A000254 f:=proc(n) option remember; if n<=1 then 1 else n*f(n-1)+(n-1)!;fi; end;
A000254 njas
A000254 nonn,easy

it does not begin with 0 but it is essentially the same.


Simon Plouffe