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Search: id:A113843
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| 0, 2, 3, 7, 13, 29, 53, 103, 199, 389, 751, 1447, 2789, 5381, 10369, 19991, 38543, 74287, 143197, 276019, 532061, 1025579, 1976857, 3810517, 7345031, 14158009
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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 and A113823 is to the tribonacci 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 A113823, least prime greater than the sum of the previous 4 terms in this sequence).
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FORMULA
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a(-n) = a(0) = 0, a(1) = 2, for n>1: a(n) = smallest prime > a(n-1)+a(n-2)+a(n-3)+a(n-4).
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EXAMPLE
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a(15) = 19991 because a(11)+a(12)+a(13)+a(14) = 1447 + 2789 + 5381 + 10369 = 19986, and 19991 is the smallest prime > 19986.
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CROSSREFS
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Cf. A055502, A113823.
Sequence in context: A055003 A099361 A113823 this_sequence A113884 A070218 A048456
Adjacent sequences: A113840 A113841 A113842 this_sequence A113844 A113845 A113846
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Jan 24 2006
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