| A072112 | Hall and Tenenbaum constant A072112=1-A133731^2/2; | Home... | ||||||||||||
| Algorithmus: | selbstkorrigierende Iterationsformel siehe | Iterationsrechner | ||||||||||||
| verwandte Konstanten: | A173571 = sqrt(1-A072112^2) = sqrt(1-(1-A133731^2/2)^2); A075838 =(A173571+PI/2-asin(A173571))/(A133731^2); | |||||||||||||
| A133731 | =cos(A173201/2)*2; | |||||||||||||
| Berechnung: | 2009 | 150 Stellen | ||||||||||||
| Berechnung: | 10.02.2010 | |||||||||||||
| 10000 Ziffern (also 9999 Nachkommastellen) und Ziffernhäufigkeit: | siehe auch | Nachkommastellendatenbank | ||||||||||||
| Berechnung: | Juni 2010 | |||||||||||||
| Ziffernhäufigkeit 50000 Ziffern (incl. 1 also Index 0…49999) | ||||||||||||||
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | Sum: | EXCEL CHITEST | χ2 | ||
| 4953 | 5118 | 5076 | 4909 | 5053 | 4937 | 5046 | 4957 | 4966 | 4985 | 50000 | 0,488261548 | 8,4628 | ||
| 5000 | 5000 | 5000 | 5000 | 5000 | 5000 | 5000 | 5000 | 5000 | 5000 | |||||
| Berechnung: | 30.10.2011 | |||||||||||||
| Ziffernhäufigkeit 100000 Ziffern (incl. 1 also Index 0…99999) | ||||||||||||||
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | Sum: | EXCEL CHITEST | χ2 | ||
| 9965 | 10143 | 10018 | 9829 | 10037 | 10015 | 10107 | 9931 | 10008 | 9947 | 100000 | 0,617178679 | 7,1916 | ||
| 10000 | 10000 | 10000 | 10000 | 10000 | 10000 | 10000 | 10000 | 10000 | 10000 | |||||
| Nachkommastelle bis i=: | ||||||||||||||
| 0. | 3286741629 0854621681 8284514043 1151189769 4154765578 | :50 | ||||||||||||
| 1909615513 3239095705 1596965712 5502218226 1891568893 | :100 | |||||||||||||
| 8055301845 2536319089 0199803107 3182423207 7133983443 | :1000 | |||||||||||||
| 6657291976 7385887544 6004654780 3732940505 5558644579 | :10000 | |||||||||||||
| 8413286677 8561327869 0580264221 6304416960 6995931023 | :50000 | |||||||||||||
| 4239154555 1555727251 9784564886 6890260469 0711343259 | :70000 | |||||||||||||
| 6292759658 1209240772 2854903270 5830139568 5203366415 | :100000 | |||||||||||||
| 6927565881 0565188556 5424492512 1132299592 3940836594 | :100050 | |||||||||||||
| hexadezimal: | 0.5423fd6cbb7d670991872f4cbaa3ebf9be6e92ed708e632ac3860f06d7d8768a3b89d0826822775b713170035446bae179e5bc4b836f9e1406165ac723da9... | |||||||||||||
| Links: | http://www.forum-auto.com/les-clubs/section7/sujet27837.htm | |||||||||||||
| http://oeis.org/A072112 | ||||||||||||||
| http://www.mikrocontroller.net/topic/96143 | ||||||||||||||
| http://www.bigbandi.de/dokus/ziege/ | ||||||||||||||
| http://mathworld.wolfram.com/GoatProblem.html | ||||||||||||||
| http://mathforum.org/dr.math/faq/faq.grazing.html | ||||||||||||||
| http://institute.unileoben.ac.at/amat/lehrbetrieb/num/vl-skript/skripts05/node30.html | ||||||||||||||
| http://matheplanet.com/matheplanet/nuke/html/article.php?sid=450 | ||||||||||||||
| http://www.houstonact.org/Pete/UH_presentation_problems.doc | ||||||||||||||
| http://www.ifh.de/~henschel/puzzles/solutions/ziege.html | ||||||||||||||
| http://members.chello.at/gut.jutta.gerhard/naeherung3.htm | ||||||||||||||