A016065 a(n) = Sum_{k=0..n} k!*(k+1)!.

1, 3, 15, 159, 3039, 89439, 3718239, 206931039, 14838252639, 1331657196639, 146181741036639, 19266392807916639, 3002019319241196639, 545863051930098156639, 114546679900210059756639, 27474742723487400843756639, 7469448066579203294091756639, 2284713285166428266627979756639

Offset: 0

Author

Robert G. Wilson v

Keywords

• nonn

Comments

Partial sums of A010790. - Sean A. Irvine, Jan 02 2019

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..252

Crossrefs

Cf. A010790.

Programs

Magma

[&+[ Factorial(k)*Factorial(k+1): k in [0..n]]: n in [0..18]]; // Vincenzo Librandi, Jan 02 2019

Mathematica

Table[Sum[k! (k+1)!, {k, 0, n}], {n, 0, 20}] (* Vincenzo Librandi, Jan 02 2019 *)

PARI

a(n) = sum(k=0, n, k!*(k+1)!); \\ Michel Marcus, Jan 02 2019

Extensions

More terms from Vincenzo Librandi, Jan 02 2019