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A105363
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Rearrangement of positive integers according to parity of (prime(n)-1)/2 (see comments).
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1
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1, 2, 3, 5, 4, 6, 7, 9, 8, 11, 10, 12, 13, 15, 14, 17, 16, 19, 21, 18, 23, 25, 20, 22, 24, 27, 29, 26, 28, 31, 33, 30, 35, 32, 37, 34, 39, 41, 36, 43, 38, 45, 40, 42, 47, 49, 51, 53, 44, 46, 55, 48, 57, 50, 59, 52, 61, 54, 56, 63, 58, 65, 67, 60, 62, 69, 64, 71, 66, 68, 73, 75
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OFFSET
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1,2
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COMMENTS
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If (prime(n+1)-1)/2 is even/odd then a(n) is the next even/odd number.
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LINKS
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Table of n, a(n) for n=1..72.
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MATHEMATICA
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bb={}; od=-1; ev=0; Do[If[EvenQ[(Prime[i]-1)/2], ev=ev+2; bb=Append[bb, ev], od=od+2; bb=Append[bb, od]], {i, 2, 200}]; bb
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CROSSREFS
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Cf. A105364.
Sequence in context: A299237 A257676 A257677 * A279337 A279336 A275375
Adjacent sequences: A105360 A105361 A105362 * A105364 A105365 A105366
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov, Apr 01 2005
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STATUS
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approved
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