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 A290729 Analog of A085635, replacing "quadratic residue" (X^2) with "value of X(3X-1)/2". 3
 1, 5, 7, 11, 13, 17, 19, 23, 25, 35, 55, 65, 77, 91, 119, 133, 143, 175, 275, 325, 385, 455, 595, 665, 715, 935, 1001, 1309, 1463, 1547, 1729, 1925, 2275, 2975, 3325, 3575, 4675, 5005, 6545, 7315, 7735, 8645 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Positions k where R(k) = A290732(k)/k, achieves a new minimum. LINKS Hugo Pfoertner, Table of n, a(n) for n = 1..182 Andreas Enge, William Hart, Fredrik Johansson, Short addition sequences for theta functions, arXiv:1608.06810 [math.NT], 2016-2018. See Table 6. MATHEMATICA a[n_] := Product[{p, e} = pe; If[p <= 3, p^e, (p^e - p^(e-1))/2 + (p^(e-1) - p^(Mod[e+1, 2]))/(2*(p+1)) + 1], {pe, FactorInteger[n]}]; r = 2; Reap[For[j=1, j <= 10^4, j = j+1, t = a[j]/j; If[t

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Last modified May 25 09:33 EDT 2022. Contains 354066 sequences. (Running on oeis4.)