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Default Help needed on generating sequences

Hi all,
in a excel sheet i want to generate the following sequences for some
array of numbers let us say starting from 0 and going to N-1 bits, the
sequence is from the Hamming Code. For clarity reasons i want to put a
formula in excel that can show me which bit is to be checked as
follows:

Position 1: check 1 bit, skip 1 bit, check 1 bit, skip 1 bit, etc.
(1,3,5,7,9,11,13,15,...)
Position 2: check 2 bits, skip 2 bits, check 2 bits, skip 2 bits, etc.
(2,3,6,7,10,11,14,15,...)
Position 4: check 4 bits, skip 4 bits, etc.
(4,5,6,7,12,13,14,15,20,21,22,23,...)
Position 8: check 8 bits, skip 8 bits, check 8 bits, skip 8 bits, etc.
(8-15,24-31,40-47,...)
Position 16: check 16 bits, skip 16 bits, check 16 bits, skip 16 bits,
etc. (16-31,48-63,80-95,...)
Position 32: check 32 bits, skip 32 bits, etc.
(32-63,96-127,160-191,...)etc.

how can i generate these sequences? using the position
(1,2,4,8,16....) and an array from 0 - N-1, I tried with MOD but i
think i messed it up.
Any help would be appreciated and thanks in advance
 
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