Project Euler Problem 446 - Retractions B (Sample Values)

Spoiler Alert! This blog entry contains content that might help you solve problem 446 of Project Euler. Please don’t read any further if you have yet to attempt to solve the problem on your own. The information is intended for those who failed to solve the problem and are looking for hints. It is posted not before the problem has a hundred solvers already.

Values for R(n)

nR(n)
11
1220
123168
12341854
123459776
1234567440
12345674416
123456785360
1234567898320

Values for ∑R(n4+4)

$$ \begin{equation} F(N) := \sum_{n=1}^{N}R\left(n^4+4\right) \end{equation} $$

NF(N)
2111
22194
232916
2492120
252745876
2677113276
272483897180
2876908101824
292441819340776
21077532377300600
2112483097302086812
21279119180249174480
2132533036300313557112
21481052743190199862544
2152593086363335525462040
21682979577689648147216188
2172655142373287977199085748
21884962979860811250120051472
2192718822070363420893676076256
22087001268229629480104239721116