This is with reference to my earlier blog with the same title.
I had shown a sequence with a few numbers--0,0,0,1,0,2,1,0,3,2,1,4,0,5,3,2,6,1,4......By deleting each number like 0,1,2,3,4 etc etc first occurring in it,the same sequence will be revealed.
I have worked further on it and have found further digits upto the 143rd place.I have shown below the sequence in successive rows -each row starting with 0.
0..........................................................................................contains 1 number
0..........................................................................................contains 1.number.
0,1.......................................................................................contains 2 numbers
0,2,1....................................................................................contains 3 numbers
0,3,2,1,4...............................................................................contains 5 numbers
0,5,3,2,6,1,7,4......................................................................contains 8 numbers
0,8,5,3,9,2,10,6,1,11,7,4,12.................................................contains 13 numbers
0,13,8,5,14,3,15,9,2,16,10,6,17,1,18,11,7,19,4,20,12.........contains 21 numbers
0,21,13,8,22,5,23,14,3,24,15,9,25,2,26,16,10,27,6,28,17,1,29,18
11,30,7,31,19,4,32,20,12,33................................contains 34 numbers.
The total no of items in each group is 1,1,2,3,5,8,13,21,34..These numbers are part of a sequence called Fibonnaci number sequence,where starting from the 3rd item the successive numbers work out as the sum of the previous 2 numbers.
The next group which should contain 55 items(21+34) has not been shown by me.This group also starts with 0 (like the previous groups)and contains 33 as the last item.
In the full sequence,the digit 1 occurs at places 4,7,11,18,29,47,76,123 etc etc.Call this group A
The digit 2 occurs at places 6,10,16,26,42,68,110 etc.etc.Call this group B
In both these groups cach number commencing from the 3rd works out as the sum of the previous 2 numbers..Likewise you can have groups for digits 3,4,5,6 etc etc.
A small digression relating to digits/numbers occuring at various places-one sample-
In the full sequence the number 13 occurs at place 35 for the first time.
18 at place 48
26 at place 69
and 39 at place 103.
You can see that the differences regarding the number and the places are 5,8,13 and 13,21,34 which are numbers in the Fibonnaci sequence.The next numbers in this sequence are 55 and 89.
So you will find that the number 60 (which is 21 places above 39) will occur at place 158(which is 55 more than 103).Similarly 94 (which is 34 places above 60)will occur first at place 247(which is 89 more than 158).
I had shown a sequence with a few numbers--0,0,0,1,0,2,1,0,3,2,1,4,0,5,3,2,6,1,4......By deleting each number like 0,1,2,3,4 etc etc first occurring in it,the same sequence will be revealed.
I have worked further on it and have found further digits upto the 143rd place.I have shown below the sequence in successive rows -each row starting with 0.
0..........................................................................................contains 1 number
0..........................................................................................contains 1.number.
0,1.......................................................................................contains 2 numbers
0,2,1....................................................................................contains 3 numbers
0,3,2,1,4...............................................................................contains 5 numbers
0,5,3,2,6,1,7,4......................................................................contains 8 numbers
0,8,5,3,9,2,10,6,1,11,7,4,12.................................................contains 13 numbers
0,13,8,5,14,3,15,9,2,16,10,6,17,1,18,11,7,19,4,20,12.........contains 21 numbers
0,21,13,8,22,5,23,14,3,24,15,9,25,2,26,16,10,27,6,28,17,1,29,18
11,30,7,31,19,4,32,20,12,33................................contains 34 numbers.
The total no of items in each group is 1,1,2,3,5,8,13,21,34..These numbers are part of a sequence called Fibonnaci number sequence,where starting from the 3rd item the successive numbers work out as the sum of the previous 2 numbers.
The next group which should contain 55 items(21+34) has not been shown by me.This group also starts with 0 (like the previous groups)and contains 33 as the last item.
In the full sequence,the digit 1 occurs at places 4,7,11,18,29,47,76,123 etc etc.Call this group A
The digit 2 occurs at places 6,10,16,26,42,68,110 etc.etc.Call this group B
In both these groups cach number commencing from the 3rd works out as the sum of the previous 2 numbers..Likewise you can have groups for digits 3,4,5,6 etc etc.
A small digression relating to digits/numbers occuring at various places-one sample-
In the full sequence the number 13 occurs at place 35 for the first time.
18 at place 48
26 at place 69
and 39 at place 103.
You can see that the differences regarding the number and the places are 5,8,13 and 13,21,34 which are numbers in the Fibonnaci sequence.The next numbers in this sequence are 55 and 89.
So you will find that the number 60 (which is 21 places above 39) will occur at place 158(which is 55 more than 103).Similarly 94 (which is 34 places above 60)will occur first at place 247(which is 89 more than 158).
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