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A118336
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a(n)= greatest multiple of (p(n+1)-p(n)) which is < p(n), where p(m) is the m-th prime.
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1
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1, 2, 4, 4, 10, 12, 16, 16, 18, 28, 30, 36, 40, 40, 42, 48, 58, 60, 64, 70, 72, 76, 78, 88, 96, 100, 100, 106, 108, 112, 124, 126, 136, 130, 148, 150, 156, 160, 162, 168, 178, 180, 190, 192, 196, 192, 204, 220, 226, 228, 228, 238, 240, 246, 252, 258, 268, 270, 276
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| A118335(n) - a(n) = 2 *(p(n+1) -p(n)). A113709(n) - a(n) = p(n+1) -p(n), for n>= 2.
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FORMULA
| a(1)=1; a(n)=[p(n+1)-p(n)]*floor(p(n)/[p(n+1)-p(n)]) for n>=2. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 27 2006
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MAPLE
| a:=n->(ithprime(n+1)-ithprime(n))*floor(ithprime(n)/(ithprime(n+1)-ithprime(n))): 1, seq(a(n), n=2..64); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 27 2006
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CROSSREFS
| Cf. A113709, A118335.
Sequence in context: A038043 A126138 A054764 * A193852 A202076 A199825
Adjacent sequences: A118333 A118334 A118335 * A118337 A118338 A118339
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Apr 25 2006
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 27 2006
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