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Search: id:A113769
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| A113769 |
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a(1) = 1, a(n+1) = a(n) + round((a(n)^(1/3)). |
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+0
1
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| 1, 2, 3, 4, 6, 8, 10, 12, 14, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 47, 51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 176, 182, 188, 194, 200, 206, 212, 218, 224, 230, 236, 242, 248, 254
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OFFSET
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1,2
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COMMENT
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A033638 a(0) = 1; a(1) = 1; for n > 1 a(n) = a(n-1) + round(sqrt(a(n-1))). Hence the current sequence is analogous to A033638, but with cube root instead of square root.
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FORMULA
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a(1) = 1, a(n+1) = a(n) + round(cuberoot(a(n))).
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EXAMPLE
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a(19) = 43, so a(20) = a(19) + round(cuberoot(a(19))) = 43 + round(cuberoot(43)) = 43 + round(3.50339806) = 43 + 4 = 47.
a(31) = 91, so a(32) = a(31) + round(cuberoot(a(31))) = 91 + round(4.49794145) = 91 + 4 = 95.
a(32) = 95, so a(33) = a(32) + round(cuberoot(a(32))) = 95 + round(4.56290264) = 95 + 5 = 100.
a(47) = 170, so a(48) = 170 + round(cuberoot(170)) = 170 + round(5.53965826) = 176.
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CROSSREFS
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Cf. A033638.
Sequence in context: A064376 A068578 A047894 this_sequence A056865 A097602 A126794
Adjacent sequences: A113766 A113767 A113768 this_sequence A113770 A113771 A113772
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 19 2006
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