A392861 a(n) = A392860(1+n) - A006093(1+n)*A392860(n), where A006093(n) is prime(n)-1.

0, 1, 9, 45, 351, 2739, 38385, 554013, 11405079, 276555303, 6766734111, 234606011115, 8083277241741, 312748067806989, 14034521933146755, 683126619439404519, 35812212064564521303, 1959829131063147845331, 127138556548483221708135, 8227860781519778571658881, 566407179626523660657093369, 43575716494843740020837410233

Offset

0,3

Links

Table of n, a(n) for n=0..21.

Index entries for sequences related to primorial numbers.

Formula

a(n) = (prime(1+n)-2) * (A002110(n)-A392860(n)). - Amiram Eldar, Jan 25 2026

Prog

(PARI)
A002110(n) = prod(i=1, n, prime(i));
A392860(n) = (1+sum(i=1, n, (prime(i)-2)*A002110(i-1)));
A392861(n) = ((prime(1+n)-2)*(A002110(n)-A392860(n)));

Crossrefs

Cf. A006093, A002110, A143293, A392860.

Sequence in context: A030113 A001556 A391607 * A230063 A009432 A145757

Adjacent sequences: A392858 A392859 A392860 * A392862 A392863 A392864

Keyword

nonn

Author

Antti Karttunen, Jan 25 2026

Status

approved