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Search: id:A167136
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| A167136 |
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a(n) = b(n)-th highest positive integer not equal to any a(k), 1 <= k <= n-1, where b(n) = noncomposite numbers = A008578(n). |
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+0
2
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| 1, 3, 5, 8, 11, 16, 19, 24, 27, 32, 39, 42, 49, 54, 57, 62, 69, 76, 79, 86, 91, 94, 101, 106, 113, 122, 127, 130, 135, 138, 143, 158, 163, 170, 173, 184, 187, 194, 201, 206, 213, 220, 223, 234, 237, 242, 245, 258, 271, 276, 279, 284, 291, 294, 305, 312, 319, 326
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OFFSET
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1,2
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COMMENT
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a(1) = 1, a(n) = A014688(n-1) = (n-1)-th prime + n - 1 for n >= 2. a(n) = A090178(n) - 1 = n-th noncomposite number + n - 1 for n >= 2.
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FORMULA
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a(1) = 1, a(n) = a(n-1) + A008578(n+1) - A008578(n) + 1 for n >= 2. a(1) = 1, a(2) = 3, a(n) = a(n-1) + A001223(n) + 1 for n >= 3. a(1) = 1, a(n) = n - 1 + A000040(n-1) = n - 1 + A008578(n) = n - 1 + A158611(n+1) for n >= 2.
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EXAMPLE
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A008578(4) = 5, so a(4) = 8 = 5-th highest positive integer not equal to 1, 3, or 5 (the values of a(k), 1 <= k <= 3).
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CROSSREFS
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Sequence in context: A049706 A080415 A014688 this_sequence A099836 A136684 A115888
Adjacent sequences: A167133 A167134 A167135 this_sequence A167137 A167138 A167139
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KEYWORD
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nonn
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AUTHOR
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Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Oct 28 2009
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