Hi,
As per my understanding you are trying to find at what different increments(least possible) the sequence is generated. You can find this by taking a range of numbers and checking if the sequence contains all its multiples according to the sequence length. Here is a sample code:
x = [0, 3, 4, 6, 8, 9, 12, 15, 16, 18, 20, 21];
Range = [1:10]'; % Range
period = zeros(length(Range),1); % Initialize output value
startSeq = 0; % Starting number of sequence
for i = 1:length(Range)
% Check if this number is already included or counted in other series
if ~any((mod(Range(i), period(period>0)) == 0))
series = x(rem(x, Range(i)) == 0); % All multiples present in the sequence
l = length(series);
if l > 1
mul = Range(i) * [startSeq:l-1];
if all(ismember(mul,series)) % Check if all multiples are present in the sequence
period(i) = Range(i);
end
end
end
end
period = period(period>0)
Also, following are some similar functions that you can refer:
