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 A291516 The arithmetic function uhat(n,3,7), negated. 0
 27, 27, 27, 27, 27, 27, 27, 27, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168, 171, 174, 177, 180, 183, 186, 189, 192, 195, 198, 201, 204, 207, 210 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..70. Bela Bajnok, Additive Combinatorics: A Menu of Research Problems, arXiv:1705.07444 [math.NT], May 2017. See Table in Section 1.6.4. MATHEMATICA 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, 3, 7], {n, 1, 70}] CROSSREFS Cf. A289435, A289436, A289437, A289438, A289439, A289440, A289441. Sequence in context: A076117 A219235 A010866 * A164862 A040703 A022361 Adjacent sequences: A291513 A291514 A291515 * A291517 A291518 A291519 KEYWORD nonn AUTHOR Robert Price, Aug 25 2017 STATUS approved

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Last modified August 3 20:33 EDT 2024. Contains 374905 sequences. (Running on oeis4.)