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neoneye/a339699_generate_plots.rb

Created December 13, 2020 12:58
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OEIS A339699
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a339699_generate_plots.rb
require 'prime'
def plot(values, modvalue)
puts
puts "plot(values, #{modvalue})"
s = values.map {|v| (v % modvalue).to_s(modvalue) }.join('')
modvalue.times do |i|
value = i.to_s(modvalue)
re = Regexp.new("[^" + value + "]")
puts '# ' + s.gsub(re, ' ')
end
end
values = Prime.first(100).each_with_index.map { |prime, index| (prime**2) * (index+1) }
# p values
puts "# Except for the initial two entries, there is a repeating pattern with modulus: 2, 3, 4, 6, 8, 12, 24."
puts "# Generates random data for other modulus values such as: 5, 7, 9, 10, 11."
puts
puts "# Repeating patterns"
plot(values, 2)
plot(values, 3)
plot(values, 4)
plot(values, 6)
plot(values, 8)
plot(values, 12)
plot(values, 24)
puts
puts "# Non-repeating patterns"
plot(values, 5)
plot(values, 7)
plot(values, 9)
plot(values, 10)
plot(values, 11)
Raw
a339699_plots.txt
# Except for the initial two entries, there is a repeating pattern with modulus: 2, 3, 4, 6, 8, 12, 24.
# Generates random data for other modulus values such as: 5, 7, 9, 10, 11.
# Repeating patterns
plot(values, 2)
# 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
plot(values, 3)
# 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
# 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
plot(values, 4)
# 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
# 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
# 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
plot(values, 6)
# 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
# 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
# 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
# 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
# 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
plot(values, 8)
# 0 0 0 0 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1 1 1 1 1
# 2 2 2 2 2 2 2 2 2 2 2 2 2
# 3 3 3 3 3 3 3 3 3 3 3 3 3
# 4 4 4 4 4 4 4 4 4 4 4 4 4 4
# 5 5 5 5 5 5 5 5 5 5 5 5
# 6 6 6 6 6 6 6 6 6 6 6 6
# 7 7 7 7 7 7 7 7 7 7 7 7
plot(values, 12)
# 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1
# 2 2 2 2 2 2 2 2
# 3 3 3 3 3 3 3 3 3
# 4 4 4 4 4 4 4 4 4 4
# 5 5 5 5 5 5 5 5
# 6 6 6 6 6 6 6 6 6
# 7 7 7 7 7 7 7 7
# 8 8 8 8 8 8 8 8
# 9 9 9 9 9 9 9 9
# a a a a a a a a
# b b b b b b b b
plot(values, 24)
# 0 0 0 0
# 1 1 1 1
# 2 2 2 2
# 3 3 3 3 3
# 4 4 4 4 4 4
# 5 5 5 5
# 6 6 6 6
# 7 7 7 7
# 8 8 8 8
# 9 9 9 9
# a a a a
# b b b b
# c c c c
# d d d d
# e e e e
# f f f f
# g g g g
# h h h h
# i i i i i
# j j j j
# k k k k
# l l l l
# m m m m
# n n n n
# Non-repeating patterns
plot(values, 5)
# 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
# 2 22 2 22 2 2 22 2 2 2 22 22 22 2 22 22 2
# 3 33 33 3 3 3 3 3 3 3 3 3
# 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
plot(values, 7)
# 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1 1 1 1
# 2 2 22 2 2 2 2 2 2 2 2 2 2
# 3 3 3 33 3 3 3 3 3 3 3 3 3 3
# 44 4 44 4 4 4 4 44 4 4 4 4 4 4 4
# 5 5 5 5 5 5 5 55 5 55 5 5
# 6 66 6 6 6 6 6 6 6 6 6 6
plot(values, 9)
# 0 0 0 0 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1 1 1 1
# 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
# 3 3 3 3 3 3 3 3 3 3 3
# 4 4 4 4 4 4 4 4 4 4 4
# 5 5 5 5 5 5 5 5
# 6 6 6 6 6 6 6 6 6 6 6
# 7 7 7 7 7 7 7 7 7 7 7 7
# 8 8 8 8 8 8 8 8 8
plot(values, 10)
# 0 0 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1 1 1
# 2 2 2 2 2 2 2 2 2 2 2 2 2
# 3 3 3 3 3 3 3
# 4 4 4 4 4 4 4 4 4 4 4 4 4
# 5 5 5 5 5 5 5 5 5 5 5
# 6 6 6 6 6 6 6 6
# 7 7 7 7 7 7 7 7 7 7 7 7
# 8 8 8 8 8 8 8
# 9 9 9 9 9 9 9 9 9
plot(values, 11)
# 0 0 0 0 0 0 0 0 0 0
# 1 1 1 1 1 1 1 1 1 11
# 2 2 2 2 2 2 2 22 2 2
# 33 3 3 3 33 3
# 4 4 4 4 4 4 4 4
# 5 5 5 5 5 5 5 5 5 5
# 6 6 6 6 6 6 6 66 6 6 6 6
# 7 7 7 7 7 7
# 8 8 8 8 8 8 8 8 8
# 99 9 9 9 9 9 9
# a a a a a a
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