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 A291542 a(n) = prime(n)^3 - prime(n) * prime(n^2). 7
 4, 6, 10, -28, 264, 234, 1054, 950, 2530, 8700, 9300, 20054, 27552, 28208, 36754, 63070, 94518, 96258, 137484, 163300, 163958, 219620, 256138, 330190, 462884, 520150, 524270, 582294, 588600, 652236, 1086612, 1179000, 1374384, 1387220, 1828230, 1838274, 2092496, 2366760, 2529382, 2842390 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Same as prime(n) * A123914(n). See A123914 for other comments and formulas. All terms are even. For prime(n)^3 - prime(n^3) see A262199. For prime(n) * prime(n^2) - prime(n^3) see A291541. For PrimePi(n) * PrimePi(n^2) - PrimePi(n)^3 see A291540. LINKS Robert Israel, Table of n, a(n) for n = 1..10000 FORMULA a(n) + A291541(n) = A262199(n). EXAMPLE a(4) = prime(4)^3 - prime(4) * prime(16) = 7^3 - 7*53 = -28. MAPLE seq(ithprime(n)^3 - ithprime(n)*ithprime(n^2), n=1..100); # Robert Israel, Sep 11 2017 MATHEMATICA Table[ Prime[n]^3 - Prime[n] * Prime[n^2], {n, 40}] PROG (PARI) a(n) = prime(n)^3 - prime(n) * prime(n^2); \\ Michel Marcus, Sep 10 2017 CROSSREFS Cf. A000040, A000720, A123914, A262199, A291440, A291538, A291539, A291540, A291541. Sequence in context: A131867 A252656 A322961 * A242565 A032392 A253048 Adjacent sequences: A291539 A291540 A291541 * A291543 A291544 A291545 KEYWORD sign AUTHOR Jonathan Sondow, Aug 25 2017 STATUS approved

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Last modified August 14 07:30 EDT 2024. Contains 375146 sequences. (Running on oeis4.)