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A097432
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Integer part of the hypotenuse of right triangles with consecutive integer legs.
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0
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2, 3, 5, 6, 7, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21, 23, 24, 26, 27, 29, 30, 31, 33, 34, 36, 37, 38, 40, 41, 43, 44, 45, 47, 48, 50, 51, 53, 54, 55, 57, 58, 60, 61, 62, 64, 65, 67, 68, 70, 71, 72, 74, 75, 77, 78, 79, 81, 82, 84, 85, 86, 88, 89, 91, 92, 94, 95, 96, 98, 99, 101
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| hypot = floor(sqrt(n^2+(n+1)^2))
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EXAMPLE
| If legs = 3,4 then hypot = floor(sqrt(9+16)) = 5, the 3-nd entry.
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MATHEMATICA
| Table[Floor[Sqrt[n^2+(n+1)^2]], {n, 100}] (* From Harvey P. Dale, Apr 02 2011 *)
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PROG
| (PARI) f(n) = for(j=1, n, x=j; y=j+1; print1(floor(sqrt(x^2+y^2))", "))
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CROSSREFS
| Sequence in context: A135674 A195121 A047332 * A038161 A158746 A062470
Adjacent sequences: A097429 A097430 A097431 * A097433 A097434 A097435
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KEYWORD
| nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Aug 22 2004
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