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!)
 A193626 Decimal expansion of bicuspid curve length. 1
 9, 8, 6, 1, 7, 7, 2, 9, 4, 2, 3, 8, 3, 6, 7, 0, 1, 5, 8, 9, 9, 2, 3, 7, 0, 0, 3, 9, 6, 7, 9, 8, 4, 3, 8, 8, 8, 6, 2, 4, 0, 1, 5, 9, 0, 9, 9, 9, 4, 3, 2, 5, 8, 5, 6, 2, 3, 2, 4, 4, 7, 9, 2, 7, 1, 1, 5, 9, 2, 7, 6, 0, 9, 8, 1, 0, 6, 7, 5, 8, 8, 1, 5, 6, 5, 9, 4, 0, 8, 8, 5, 2, 0, 8, 4, 0, 2, 4, 2, 8, 0, 4, 8, 8, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Eric Weisstein's World of Mathematics, BicuspidCurve. EXAMPLE 9.861772942... MATHEMATICA f[x_, y_] = (x^2 - 1)*(x - 1)^2 + (y^2 - 1)^2; sy = Solve[f[x, y] == 0, y]; sx = Solve[f[x, y] == 0, x]; s = Solve[f[x, -x + 1/2] == 0, x] ; f1[x_] = y /. sy[[4, 1]]; f2[x_] = y /. sy[[2, 1]]; g1[y_] = x /. sx[[3, 1]]; g2[y_] = x /. sx[[4, 1]]; x2 = x /. s[[3]]; y2 = f1[x2]; x6 = x /. s[[4]]; y6 = f2[x6]; ni[a_, b_] := NIntegrate[a, b, WorkingPrecision -> 120]; ds1 = Sqrt[1 + f1'[x]^2] // Simplify; p1 = ni[ds1, {x, x2, 1} ] ; ds2 = Sqrt[1 + g1'[y]^2]; p2 = ni[ds2, {y, 0, y2}] ; ds3 = Sqrt[1 + g2'[y]^2]; p3 = ni[ds3, {y, 0, y6}] ; ds4 = Sqrt[1 + f2'[x]^2] // Simplify; p4 = ni[ds4, {x, x6, 1}] ; p = 2*(p1 + p2 + p3 + p4) ; Take[RealDigits[p][[1]], 105] CROSSREFS Cf. A193625 (area) Sequence in context: A059069 A084660 A002391 * A316600 A087044 A246168 Adjacent sequences:  A193623 A193624 A193625 * A193627 A193628 A193629 KEYWORD nonn,cons AUTHOR Jean-François Alcover, Aug 01 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 12 22:06 EST 2019. Contains 329963 sequences. (Running on oeis4.)