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Search: id:A102822
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| A102822 |
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a(n+1) = integer part of Sqrt(2a(n)^2). |
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+0
1
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| 3, 4, 5, 7, 9, 12, 16, 22, 31, 43, 60, 84, 118, 166, 234, 330, 466, 659, 931, 1316, 1861, 2631, 3720, 5260, 7438, 10518, 14874, 21035, 29747, 42068, 59493, 84135, 118984, 168268, 237966, 336534, 475930, 673066, 951859, 1346131, 1903716, 2692260
(list; graph; listen)
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OFFSET
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3,1
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COMMENT
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A square of side a(n) has a(n+1) as integer part of its diagonal. - Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 03 2005
Starting the sequence with 0, 1 or 2 would be rather dull.
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EXAMPLE
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A 3 X 3 square has a diagonal of 4.242640687119285...; int. part is "4";
a 4 X 4 square has a diagonal of 5.656854249492381...; int. part is "5";
a 5 X 5 square has a diagonal of 7.071067811865475...; int. part is "7";
a 7 X 7 square has a diagonal of 9.899494936611665...; int. part is "9";
a 9 X 9 square, etc.
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MATHEMATICA
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NestList[ Function[x, IntegerPart[ Sqrt[ 2x^2]]], 3, 30] (from Robert G. Wilson v Mar 03 2005)
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CROSSREFS
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Sequence in context: A035260 A035249 A104805 this_sequence A167159 A164572 A067530
Adjacent sequences: A102819 A102820 A102821 this_sequence A102823 A102824 A102825
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KEYWORD
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base,easy,nonn
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AUTHOR
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Eric Angelini (eric.angelini(AT)kntv.be), Feb 27 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 03 2005
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