

A116594


a^n*b^m ordering of IChing symbol numbers.


0



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
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OFFSET

0,2


COMMENTS

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


LINKS

Table of n, a(n) for n=0..63.


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: A178680 A178679 A154766 * A249723 A050593 A189834
Adjacent sequences: A116591 A116592 A116593 * A116595 A116596 A116597


KEYWORD

nonn,uned,obsc


AUTHOR

Roger L. Bagula, Mar 27 2006


STATUS

approved



