A079266 Subprimorials, extrapolation from primorials by analogy with subfactorials.

0, 1, 2, 11, 77, 850, 11047, 187806, 3568317, 82071280, 2380067130, 73782081030, 2729936998114, 111927416922654, 4812878927674125, 226205309600683885, 11988881408836245894, 707344003121338507758, 43147984190401648973266

Offset: 0

Author

Michael Joseph Halm, Feb 05 2003

Keywords

• nonn

Examples

			a(3) = 11 because Prime(3) = 5, 5# = 30, 30/e = 11.036...
		

Crossrefs

Cf. A002110, A000166.

See A121572 for a different definition of subprimorial.

Programs

Mathematica

Table[Round[Times @@ Prime@Range@n/E], {n, 18}] (* Robert G. Wilson v, Apr 30 2009 *)
Join[{0},Round[FoldList[Times,Prime[Range[20]]]/E]] (* Harvey P. Dale, Oct 22 2023 *)

Formula

a(n) = Round(Prime(n)#/e), where p# = p primorial, with Prime(0)# = 1.

Extensions

Edited by Franklin T. Adams-Watters, Aug 08 2006

More terms from Robert G. Wilson v, Apr 30 2009