%I #16 Jan 31 2023 13:29:33
%S 1,3,6,13,38,159,880,5921,46242,409123,4037924,43954725,522956326,
%T 6749977127,93928268328,1401602636329,22324392524330,378011820620331,
%U 6780385526348332,128425485935180333,2561327494111820334,53652269665821260335,1177652997443428940336
%N a(n) = n + Sum_{k=0..n} k!.
%H Alois P. Heinz, <a href="/A036781/b036781.txt">Table of n, a(n) for n = 0..400</a>
%p a:= proc(n) option remember; `if`(n=0, 1, a(n-1)+1+n!) end:
%p seq(a(n), n=0..30); # _Alois P. Heinz_, Jan 05 2015
%t Module[{nn=30,f},f=Accumulate[Range[0,nn]!];Table[n+f[[n]],{n,nn}]]-1 (* _Harvey P. Dale_, Nov 04 2020 *)
%t Module[{nn=30,f},f=Accumulate[Range[0,nn]!];Total/@Thread[{f,Range[0,nn]}]] (* _Harvey P. Dale_, Jan 31 2023 *)
%Y A003422[ n ] + n.
%Y Cf. A007489.
%K nonn
%O 0,2
%A _N. J. A. Sloane_.
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