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Search: id:A114145
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| A114145 |
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Self-describing sequence : 2 composite integers between two primes, then 4 composites, then 6, then 7, then 8, etc. The quantity of composites in each run is given by the sequence itself. (Sequence is strictly increasing and the smallest next available prime is used when needed). |
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+0
1
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| 2, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 21, 23, 24, 25, 26, 27, 28, 30, 32, 37, 38, 39, 40, 42, 44, 45, 46, 48, 53, 54, 55, 56, 57, 58, 60, 62, 63, 64, 67, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 102
(list; graph; listen)
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OFFSET
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2,1
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COMMENT
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PARI program by Klaus Brockhaus.
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EXAMPLE
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Runs of composites between brackets:
2,(4,6),7,(8,9,10,12),13,(14,15,16,18,20,21),23,(24,25,26,27,28,30,32)...
.^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^
.2 comp. 4 comp. 6 comp. 7 comp. (etc.) = the seq. itself
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PROGRAM
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(PARI) {m=20; k=2; v=[k]; for(j=1, m, count=0; while(count<v[j], if(!isprime(k), v=concat(v, k); count++); k++); k=nextprime(k); v=concat(v, k)); for(n=1, #v, print1(v[n], ", "))}
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CROSSREFS
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Adjacent sequences: A114142 A114143 A114144 this_sequence A114146 A114147 A114148
Sequence in context: A039136 A039098 A015860 this_sequence A136499 A047513 A039068
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KEYWORD
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base,easy,nonn
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AUTHOR
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Eric Angelini (eric.angelini(AT)kntv.be), Feb 03 2006
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