A024529 a(n) = s(1)*s(2)*...*s(n)*(1/s(1) - 1/s(2) + ... + c/s(n)), where s(1) = 1, s(k) = p(k-1) for k >= 2 and c = (-1)^(n+1).

1, 1, 5, 19, 163, 1583, 22889, 359083, 7333087, 158961311, 4832970889, 143352404329, 5504599450303, 218267839327613, 9689767354614569, 442336304335214713, 24058713912354871199, 1386874962351747356011

Offset

1,3

Links

Table of n, a(n) for n=1..18.

Formula

a(n+1) = a(n)*prime(n) + (-1)^n*primorial(prime(n-1)) for n >= 3. - Alexandre Herrera, Sep 03 2023

Prog

(PARI) a(n)=if(n<1, n>0, prod(i=1, n-1, prime(i))*sum(i=1, n-1, (-1)^i/prime(i), 1)) /* Michael Somos, Feb 01 2004 */

Crossrefs

Sequence in context: A027269 A082790 A145935 * A363000 A106991 A102262

Adjacent sequences: A024526 A024527 A024528 * A024530 A024531 A024532

Keyword

nonn

Author

Clark Kimberling

Status

approved