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Search: id:A055498
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| A055498 |
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a(0)=0, a(1)=1, a(n) = smallest prime >= a(n-1)+a(n-2). |
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+0
7
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| 0, 1, 2, 3, 5, 11, 17, 29, 47, 79, 127, 211, 347, 563, 911, 1481, 2393, 3877, 6271, 10151, 16427, 26591, 43019, 69623, 112643, 182279, 294923, 477209, 772139, 1249361, 2021501, 3270863, 5292367, 8563237, 13855607, 22418849, 36274471
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Zak Seidov, Table of n, a(n) for n = 0..100.
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FORMULA
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a(n+1)=nextprime(a(n)+a(n-1)) where nextprime(n) is smallest prime >= n.
a(n) is asymptotic to c*phi^n where phi=(1+sqrt(5))/2 and c= 1.086541275044988562375... - Benoit Cloitre (benoit7848c(AT)orange.fr), May 02 2004
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EXAMPLE
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After 3,5, the next prime >=8 is 11.
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PROGRAM
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(PARI) a(n)=local(v); if(n<2, n>=0, n++; v=vector(n, i, 1); for(i=3, n, v[i]=nextprime(v[i-1]+v[i-2])); v[n]) - Michael Somos Feb 01 2004
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CROSSREFS
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Cf. A073021, A073022, A055499-A055502.
Adjacent sequences: A055495 A055496 A055497 this_sequence A055499 A055500 A055501
Sequence in context: A124588 A059428 A084571 this_sequence A073021 A079370 A014210
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KEYWORD
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nonn
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AUTHOR
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njas, Jul 08 2000
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