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A174652 Partial sums of A002814. 0
1, 3, 20, 5797, 192900159414, 7177905237579946589743785824843591, 369822356418414944143680173221426891716916679027557977938929258031497305419444723776968084111223998808 (list; graph; refs; listen; history; text; internal format)
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: A296408 A002857 A203314 * A024011 A229197 A188721

Adjacent sequences:  A174649 A174650 A174651 * A174653 A174654 A174655

KEYWORD

nonn

AUTHOR

Jonathan Vos Post, Mar 25 2010

STATUS

approved

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Last modified May 14 03:33 EDT 2021. Contains 343872 sequences. (Running on oeis4.)