Re: MathsBombe - observations but not the answer

On Thu, 20 Feb 2025 08:48:47 -0000 (UTC), David Entwistle wrote:

I'll try and think differently... :o)

I wouldn't have guessed, nor predicted the sequence of numbers of coins of
each denomination required to match the desired increasing monetary value.

221 matched by 221.00, 0 * x^4 + 0 * x^3 + 14 * x^2 + 14 * x^1 + 11 * x^0
222 matched by 222.00, 0 * x^4 + 0 * x^3 + 14 * x^2 + 14 * x^1 + 12 * x^0
223 matched by 223.00, 0 * x^4 + 0 * x^3 + 14 * x^2 + 14 * x^1 + 13 * x^0
224 matched by 224.00, 0 * x^4 + 0 * x^3 + 14 * x^2 + 14 * x^1 + 14 * x^0
225 matched by 225.00, 1 * x^4 + 2 * x^3 + 1 * x^2 + 0 * x^1 + 0 * x^0
226 matched by 226.00, 1 * x^4 + 2 * x^3 + 1 * x^2 + 0 * x^1 + 1 * x^0
227 matched by 227.00, 1 * x^4 + 2 * x^3 + 1 * x^2 + 0 * x^1 + 2 * x^0
228 matched by 228.00, 1 * x^4 + 2 * x^3 + 1 * x^2 + 0 * x^1 + 3 * x^0
229 matched by 229.00, 1 * x^4 + 2 * x^3 + 1 * x^2 + 0 * x^1 + 4 * x^0
230 matched by 230.00, 1 * x^4 + 2 * x^3 + 1 * x^2 + 0 * x^1 + 5 * x^0

Does anyone have an easy explanation why steps are jumped in the sequence
of additional coins, or is it a mistake on my part?

--
David Entwistle