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Search: id:A113884
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| 0, 2, 3, 7, 13, 29, 59, 113, 223, 439, 877, 1721, 3389, 6653, 13093, 25741, 50599, 99487, 195581, 384509, 755959
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OFFSET
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0,2
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COMMENT
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This is to the pentanacci 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 5 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)+a(n-5).
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EXAMPLE
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a(6) = 59 because a(1)+a(2)+a(3)+a(4)+a(5) = 2+3+7+13+29 = 54, the smallest prime beyond 54 is 59.
a(10) = 877 because a(5)+a(6)+a(7)+a(8)+a(9) = 29 + 59 + 113 + 223 + 439 = 863 is prime, the next prime being 14 more, namely 877.
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CROSSREFS
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Cf. A055502, A113823.
Sequence in context: A099361 A113823 A113843 this_sequence A070218 A048456 A071899
Adjacent sequences: A113881 A113882 A113883 this_sequence A113885 A113886 A113887
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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 27 2006
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