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A104803
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"Floor of hypotenuses": a(n)=floor[sqrt[a(n-1)^2+a(n-2)^2]], a(1)=1, a(2)=3.
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9
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1, 3, 3, 4, 5, 6, 7, 9, 11, 14, 17, 22, 27, 34, 43, 54, 69, 87, 111, 141, 179, 227, 289, 367, 467, 593, 754, 959, 1219, 1551, 1972, 2508, 3190, 4057, 5160, 6563, 8348, 10618, 13506, 17180, 21853, 27797, 35358, 44976, 57210, 72772, 92567, 117747, 149776
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..49.
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MATHEMATICA
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a[n_] := a[n] = Floor[ Sqrt[ a[n - 1]^2 + a[n - 2]^2]]; a[1] = 1; a[2] = 3; Table[ a[n], {n, 49}] (from Robert G. Wilson v Mar 28 2005)
nxt[{a_, b_}]:={b, Floor[Sqrt[a^2+b^2]]}; Transpose[NestList[nxt, {1, 3}, 50]] [[1]] (* Harvey P. Dale, Oct 29 2012 *)
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CROSSREFS
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Cf. A104804, A104805.
Sequence in context: A120180 A063197 A011977 * A104804 A144489 A100091
Adjacent sequences: A104800 A104801 A104802 * A104804 A104805 A104806
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov, Mar 26 2005
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EXTENSIONS
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More terms from Robert G. Wilson v, Mar 28 2005
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STATUS
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approved
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