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Search: id:A113823
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| 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
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0,2
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COMMENT
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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 cube-free.
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FORMULA
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a(0) = 0, a(1) = 2, for n>2: a(n) = smallest prime > a(n-1)+a(n-2)+a(n-3).
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CROSSREFS
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Cf. A055502.
Sequence in context: A074129 A055003 A099361 this_sequence A113843 A113884 A070218
Adjacent sequences: A113820 A113821 A113822 this_sequence A113824 A113825 A113826
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 23 2006
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