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Search: id:A082934
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| A082934 |
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Sum of numbers generated from the consecutive numbers n = 1,2,.. according to the rule in exact order: if n is even then divide n by 2, if n is odd keep it, if n is prime add 1 to n. |
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+0
1
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| 1, 4, 8, 10, 16, 19, 27, 31, 40, 45, 57, 63, 77, 84, 99, 107, 125, 134, 154, 164, 185, 196, 220, 232, 257, 270, 297, 311, 341, 356, 388, 404, 437, 454, 489, 507, 545, 564, 603, 623, 665, 686, 730, 752, 797, 820, 868, 892, 941, 966, 1017, 1043, 1097, 1124, 1179
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The ratio of seq(n-1)/seq(n) approaches .99999...986666... as n -> oo
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FORMULA
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seq = if n even then n/2 else n. seq = if n is prime then n+1. Sumseq = Sumseq + seq for n=1, 2, ...
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PROGRAM
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(PARI) crazy1(n) = { s=0; tmp; for(x=1, n, if(x%2==0, y=x/2, y=x); if(isprime(x), y=x+1); s=s+y; \ print1(y" ") print1(s" "); tmp=s1; s1=s2; s2=tmp; ); print(); print(s1/s2"="s1/s2+0.0) }
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CROSSREFS
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Sequence in context: A120064 A028873 A020169 this_sequence A036311 A020209 A046559
Adjacent sequences: A082931 A082932 A082933 this_sequence A082935 A082936 A082937
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KEYWORD
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easy,nonn,uned
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), May 26 2003
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