This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A291567 #7 Aug 27 2017 08:48:54 %S A291567 1,2,3,4,5,6,7,7,7,5,7,6,7,7,5,7,7,6,7,5,7,7,7,6,5,7,7,7,7,5,7,7,7,7, %T A291567 5,6,7,7,7,5,7,6,7,7,5,7,7,6,7,5,7,7,7,6,5,7,7,7,7,5,7,7,7,7,5,6,7,7, %U A291567 7,5 %N A291567 The arithmetic function uhat(n,5,2). %C A291567 The sequence appears to be equal to uhat(n,5,3), at least to 10000 terms. %H A291567 Bela Bajnok, <a href="https://arxiv.org/abs/1705.07444">Additive Combinatorics: A Menu of Research Problems</a>, arXiv:1705.07444 [math.NT], May 2017. See Table in Section 1.6.4. %t A291567 delta[r_, k_, d_] := If[r < k, (k - r)*r - (d - 1), If[k < r && r < d, (d - r)*(r - k) - (d - 1), If[k == r && r == d, d - 1, 0]]] uhat[n_, m_, h_] := (dx = Divisors[n]; dmin = n; For[i = 1, i ≤ Length[dx], i++, d = dx[[i]]; k = m - d*Ceiling[m/d] + d; r = h - d*Ceiling[h/d] + d; If[h ≤ Min[k, d - 1], dmin = Min[dmin, n, (h*Ceiling[m/d] - h + 1)*d, h*m - h*h + 1], dmin = Min[dmin, n, h*m - h*h + 1 - delta[r, k, d]]]]; dmin) Table[uhat[n, 5, 2], {n, 1, 70}] %Y A291567 Cf. A289435, A289436, A289437, A289438, A289439, A289440, A289441. %K A291567 nonn %O A291567 1,2 %A A291567 _Robert Price_, Aug 26 2017