Let X = length of side of ascending cubes, Y = Net change increase in volume : x^3-(x-1)^3=y or 3x^2-3x+1 = y, Y solved using any integer will give the sequence ...19,7,1,1,7,19,37,61,91... in base 10 this sequence becomes the pattern ...1,1,7,1,1,7,1,1,7...
Let X = length of side of ascending cubes, Y = Net change increase in volume : x^3-(x-1)^3=y or 3x^2-3x+1 = y, Y solved using any integer will give the sequence ...19,7,1,1,7,19,37,61,91... in base 10 this sequence becomes the pattern ...1,1,7,1,1,7,1,1,7...