This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A195296 Decimal expansion of shortest length, (C), of segment from side CA through incenter to side CB in right triangle ABC with sidelengths (a,b,c)=(8,15,17). 4
 6, 9, 9, 7, 1, 4, 2, 2, 7, 3, 8, 1, 4, 3, 6, 0, 5, 6, 5, 0, 4, 8, 9, 8, 3, 4, 5, 3, 0, 5, 4, 6, 9, 9, 6, 9, 1, 8, 2, 5, 6, 7, 8, 0, 0, 1, 8, 6, 3, 1, 6, 6, 3, 4, 5, 3, 4, 0, 0, 0, 8, 0, 9, 3, 8, 4, 1, 3, 7, 2, 0, 7, 4, 3, 9, 6, 0, 5, 5, 1, 5, 3, 1, 9, 8, 2, 8, 8, 3, 9, 1, 7, 4, 3, 6, 4, 2, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A195284 for definitions and a general discussion. LINKS EXAMPLE (C)=6.99714227381436056504898345305469969182567800... MATHEMATICA a = 8; b = 15; c = 17; h = a (a + c)/(a + b + c); k = a*b/(a + b + c); f[t_] := (t - a)^2 + ((t - a)^2) ((a*k - b*t)/(a*h - a*t))^2; s = NSolve[D[f[t], t] == 0, t, 150] f1 = (f[t])^(1/2) /. Part[s, 4] RealDigits[%, 10, 100] (* (A) A195293 *) f[t_] := (b*t/a)^2 + ((b*t/a)^2) ((a*h - a*t)/(b*t - a*k))^2 s = NSolve[D[f[t], t] == 0, t, 150] f3 = (f[t])^(1/2) /. Part[s, 1] RealDigits[%, 10, 100] (* (B) A195296 *) f[t_] := (t - a)^2 + ((t - a)^2) (k/(h - t))^2 s = NSolve[D[f[t], t] == 0, t, 150] f2 = (f[t])^(1/2) /. Part[s, 4] RealDigits[%, 10, 100] (* (C) A010524 *) (f1 + f2 + f3)/(a + b + c) RealDigits[%, 10, 100] (* Philo(ABC, I), A195297 *) CROSSREFS Cf. A195284. Sequence in context: A021147 A246709 A051496 * A273951 A307053 A100403 Adjacent sequences:  A195293 A195294 A195295 * A195297 A195298 A195299 KEYWORD nonn,cons AUTHOR Clark Kimberling, Sep 14 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 11 05:23 EST 2019. Contains 329913 sequences. (Running on oeis4.)