OFFSET
0,2
COMMENTS
The sum in the sequence has limit 1.1747626393. The case of reciprocal squares is in A075986.
For n>0 a(n) is the determinant of the n X n matrix with elements M[i,j] = 1+prime(i)^3 if i=j and 1 otherwise. - Alexander Adamchuk, Jul 08 2006
LINKS
Simon Plouffe, Plouffe's Inverter
FORMULA
a(0) = 1; a(n) = a(n-1)*prime(n)^3+(prime(1)*...*prime(n-1))^3.
EXAMPLE
a(2) = 251 so a(3) = 251*p(3)^3 + (2*3)^3 = 251*125 + 216 = 31591.
MATHEMATICA
Table[Det[DiagonalMatrix[Table[Prime[i]^3, {i, 1, n}]]+1], {n, 1, 15}] (* Alexander Adamchuk, Jul 08 2006 *)
PROG
(PARI) a(n) = numerator(1 + sum(k=1, n, 1/prime(k)^3)); \\ Michel Marcus, May 31 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Sep 28 2002
STATUS
approved