A174652 Partial sums of A002814.

1, 3, 20, 5797, 192900159414, 7177905237579946589743785824843591, 369822356418414944143680173221426891716916679027557977938929258031497305419444723776968084111223998808

Offset

0,2

Comments

Partial sums of an infinite coprime sequence defined by recursion. 3 is the only prime through a(6). Is it computationally feasible to find another?

Links

Table of n, a(n) for n=0..6.

Formula

a(n) = SUM[i=0..n] A002814(i) = SUM[i=0..n] {a(n) = a(n-1)^3 + 3a(n-1)^2 - 3}.

Example

a(3) = 1 + 2 + 17 + 5777 = 5797 = 11 * 17 * 31.

Crossrefs

Cf. A002814, A000045, A001566, A045529.

Sequence in context: A002857 A345328 A203314 * A024011 A361153 A229197

Adjacent sequences: A174649 A174650 A174651 * A174653 A174654 A174655

Keyword

nonn

Author

Jonathan Vos Post, Mar 25 2010

Status

approved