A392861 - OEIS

%I #8 Jan 25 2026 17:26:21

%S 0,1,9,45,351,2739,38385,554013,11405079,276555303,6766734111,

%T 234606011115,8083277241741,312748067806989,14034521933146755,

%U 683126619439404519,35812212064564521303,1959829131063147845331,127138556548483221708135,8227860781519778571658881,566407179626523660657093369,43575716494843740020837410233

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

%H <a href="/index/Pri#primorial_numbers">Index entries for sequences related to primorial numbers</a>.

%F a(n) = (prime(1+n)-2) * (A002110(n)-A392860(n)). - _Amiram Eldar_, Jan 25 2026

%o (PARI)

%o A002110(n) = prod(i=1,n,prime(i));

%o A392860(n) = (1+sum(i=1,n,(prime(i)-2)*A002110(i-1)));

%o A392861(n) = ((prime(1+n)-2)*(A002110(n)-A392860(n)));

%Y Cf. A006093, A002110, A143293, A392860.

%K nonn

%O 0,3

%A _Antti Karttunen_, Jan 25 2026