A306192 a(n) = (n - 1)*prime(n + 1).

0, 5, 14, 33, 52, 85, 114, 161, 232, 279, 370, 451, 516, 611, 742, 885, 976, 1139, 1278, 1387, 1580, 1743, 1958, 2231, 2424, 2575, 2782, 2943, 3164, 3683, 3930, 4247, 4448, 4917, 5134, 5495, 5868, 6179, 6574, 6981, 7240, 7831, 8106, 8471, 8756, 9495, 10258

Offset: 1

Author

Stefano Spezia, Jan 28 2019

Keywords

• nonn
• easy

Comments

For n > 1, a(n) is the subdiagonal sum of the matrix M(n) whose determinant is A318173(n).

Links

• Stefano Spezia, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A033286, A318173.

Programs

Magma

[(n-1)*NthPrime(n+1): n in [1..100]];

Maple

a := n -> (n-1)*ithprime(n+1): seq(a(n), n = 1 .. 100);

Mathematica

a[n_]:=(n-1)*Prime[n+1]; Array[a,100]

PARI

a(n) = (n-1)*prime(n+1);

Python

from sympy import prime
[(n-1)*prime(n+1) for n in range(1,100)]

Formula

a(n) = A033286(n + 1) - 2*A000040(n + 1).

a(n) = (n - 1)/(n + 1)*A033286(n + 1).