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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 sequence 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: A015860 A147613 A155939 this_sequence A153351 A153343 A136499
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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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