Integer sequence A338277 generates a sunflower

a338277_integer.rb

items = []
values = Array.new(1000) do |i|
    n = i + 2
    x = (n ** 2) / 2
    y = Integer.sqrt(x)
    value = x % y
    items << [n, x, y, value]
    value
end
IO.write('a338277_values.csv', values.join("\n"))

rows = []
items.each do |n, x, y, value|
    radians = value * Math::PI * 2 / y.to_f
    px = Math::cos(radians) * n
    py = Math::sin(radians) * n
    rows << ("%.2f;%.2f" % [px, py])
end
IO.write('a338277_sunflower.csv', rows.join("\n"))
# See this plot: https://i.imgur.com/cVo5QdD.png

a338277_real.rb

items = []
values = Array.new(10000) do |i|
    n = i + 2
    x = (n ** 2) / 2.0  # real numbers, where A338277 use integers
    y = x ** 0.5        # real numbers, where A338277 use integers
    value = x % y
    items << [n, x, y, value]
    value
end
IO.write('a338277_values.csv', values.join("\n"))

rows = []
items.each do |n, x, y, value|
    radians = value * Math::PI * 2 / y.to_f
    distance = n ** 0.5
    px = Math::cos(radians) * distance
    py = Math::sin(radians) * distance
    rows << ("%.2f;%.2f" % [px, py])
end
IO.write('a338277_sunflower.csv', rows.join("\n"))
# See this plot: https://i.imgur.com/xVXGirJ.png