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A116594 a^n*b^m ordering of IChing symbol numbers. +0
1
1, 9, 10, 13, 14, 43, 44, 5, 6, 25, 26, 28, 30, 33, 34, 37, 38, 49, 50, 57, 58, 61, 11, 12, 17, 18, 21, 22, 31, 32, 41, 42, 47, 48, 53, 54, 55, 56, 59, 60, 63, 64, 3, 4, 19, 20, 27, 29, 35, 36, 39, 40, 45, 46, 51, 52, 62, 7, 8, 15, 16, 23, 24, 2 (list; graph; listen)
OFFSET

0,2

COMMENT

Traditional Chinese question answering symbols usually taken in a random order of drawing. The IChing is a Pascal Polynomial base: (x+1)6 1,6,15,20,6,1 Two symbols taken six at a time to 64 total symbols. It is part of the famous "Eight Fold Way" in Chinese mysticism. The draw is eight at random and use the symbols they "mean" to interpret a "question". It sort of like a "yes" or "no" using a coin toss only with a book to interpret the results. Questions have to be formulated in a specific format. Think of each IChing symbol as the result of six coin tosses. So taking 8 symbols is like 48 =8*6 coin tosses in a row. It will noticed in this ordering by binomial types that there is a pattern of pairing of symbols by number.

REFERENCES

John Blofeld, The Book of Change, Dutton, New York,1968, Page 222

http://www.uponreflection.co.uk/iching/iching_symbols/iching_symbols.htm

FORMULA

I sorted them by a^n*b*m: a6*b0->1 a5*b1->9,10,13,14,43,44 a4*b2->5,6,25,26,28,30,33,34,37,38,49,50,57,58,61 a3*b3->11,12,17,18,21,22,31,32,41,42,47,48,53,54,55,56,59,60,63,64 a2*b4->3,4,19,20,27,29,35,36,39,40,45,46,51,52,62 a1*b5->7,8,15,16,23,24 a0*b6->2).

MATHEMATICA

b = {1, 9, 10, 13, 14, 43, 44, 5, 6, 25, 26, 28, 30, 33, 34, 37, 38, 49, 50, 57, 58, 61, 11, 12, 17, 18, 21, 22, 31, 32, 41, 42, 47, 48, 53, 54, 55, 56, 59, 60, 63, 64, 3, 4, 19, 20, 27, 29, 35, 36, 39, 40, 45, 46, 51, 52, 62, 7, 8, 15, 16, 23, 24, 2} Sort[b] Length[b] ListPlot[b, PlotJoined -> True]

CROSSREFS

Sequence in context: A078459 A078390 A037408 this_sequence A050593 A110095 A061445

Adjacent sequences: A116591 A116592 A116593 this_sequence A116595 A116596 A116597

KEYWORD

nonn,uned,probation,obsc

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Mar 27 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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