

A113823


Tribonacci analog of A055502.


2



0, 2, 3, 7, 13, 29, 53, 97, 181, 337, 617, 1151, 2111, 3881, 7151, 13147, 24181, 44483, 81817, 150497, 276817, 509137, 936469, 1722431, 3168097
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OFFSET

0,2


COMMENTS

This is to the tribonacci sequence as A055502 is to the Fibonacci sequence (i.e. least prime greater than the sum of the previous 2 terms in A055502, least prime greater than the sum of the previous 3 terms in this sequence). The first 9 positive terms are also elements of A089189 (primes p such that p1 is cube or higher powerfree) but that coiuncidence breaks down as a(10) = 617 is a prime p, but p1 = 616 = 2^3 * 7 * 11 is not cubefree.


LINKS

Table of n, a(n) for n=0..24.


FORMULA

a(0) = 0, a(1) = 2, for n>2: a(n) = smallest prime > a(n1)+a(n2)+a(n3).


CROSSREFS

Cf. A055502.
Sequence in context: A233350 A233557 A296415 * A113843 A199582 A255516
Adjacent sequences: A113820 A113821 A113822 * A113824 A113825 A113826


KEYWORD

easy,nonn


AUTHOR

Jonathan Vos Post, Jan 23 2006


STATUS

approved



