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 A034167 Product of primes == 1 (mod 7) and cubes of primes == 2 or 4 (mod 7). 1
 1, 8, 29, 43, 64, 71, 113, 127, 197, 211, 232, 239, 281, 337, 344, 379, 421, 449, 463, 491, 512, 547, 568, 617, 631, 659, 673, 701, 743, 757, 827, 841, 883, 904, 911, 953, 967, 1009, 1016, 1051, 1093, 1163, 1247, 1289, 1303, 1331, 1373, 1429, 1471, 1499, 1576, 1583, 1597, 1667 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..54. P. A. B. Pleasants, M. Baake, J. Roth, Planar coincidences for N-fold symmetry J. Math. Phys. 37 (1996) 1029-1058, see p. 1044. FORMULA Nonzero powers in the Dirichlet product Product_{p1,p2,p4} ( ((1+p1^(-s)) / (1-p1^(-s)))^3 * (1+p2^(-3*s)) * (1+p4^(-3*s)) / ((1-p2^(-3*s)) * (1-p4^(-3*s))) ) where p1, p2, p4 are primes congruent to 1, 2, and 4 (mod 7), respectively. - Sean A. Irvine, Aug 03 2020 CROSSREFS Sequence in context: A299093 A299875 A035339 * A299011 A299802 A299678 Adjacent sequences: A034164 A034165 A034166 * A034168 A034169 A034170 KEYWORD nonn,easy AUTHOR N. J. A. Sloane EXTENSIONS More terms from Reiner Martin, May 19 2001 Missing terms inserted by Sean A. Irvine, Aug 03 2020 STATUS approved

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Last modified September 25 15:05 EDT 2023. Contains 365648 sequences. (Running on oeis4.)