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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 (list; graph; refs; listen; history; text; internal format)
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 p-1 is cube- or higher power-free) but that coiuncidence breaks down as a(10) = 617 is a prime p, but p-1 = 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(n-1)+a(n-2)+a(n-3).

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

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Last modified August 17 17:08 EDT 2019. Contains 326059 sequences. (Running on oeis4.)