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 A030272 Number of partitions of n^3 into distinct cubes. 18
 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 3, 4, 6, 6, 7, 6, 20, 18, 21, 42, 55, 52, 80, 126, 140, 201, 323, 361, 600, 626, 938, 1387, 1648, 2310, 3620, 4575, 5495, 9278, 11239, 14229, 23406, 28780, 38218, 53987, 73114, 87568, 134007, 181986, 233004, 348230, 432184 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..180 FORMULA a(n) = [x^(n^3)] Product_{k>=1} (1 + x^(k^3)). - Ilya Gutkovskiy, Apr 13 2017 a(n) = A279329(n^3). - Vaclav Kotesovec, May 06 2019 a(n) ~ exp(2^(7/4) * 3^(-3/2) * ((2^(1/3)-1) * Gamma(1/3) * Zeta(4/3))^(3/4) * n^(3/4)) * ((2^(1/3)-1) * Gamma(1/3) * Zeta(4/3))^(3/8) / (2^(17/8) * 3^(1/4) * sqrt(Pi) * n^(21/8)). - Vaclav Kotesovec, May 06 2019 EXAMPLE a(6) = 2: [27,64,125], [216]. a(9) = 3: [1,27,64,125,512], [1,216,512], [729]. PROG (PARI) apply( A030272(n)=A279329(n^3), [0..30]) \\ M. F. Hasler, Jan 05 2020 CROSSREFS Cf. A000009, A003108, A033461, A259792, A279329. Sequence in context: A305499 A210873 A224838 * A157128 A301376 A307828 Adjacent sequences:  A030269 A030270 A030271 * A030273 A030274 A030275 KEYWORD nonn AUTHOR EXTENSIONS a(0)=1 prepended by Ilya Gutkovskiy, Apr 13 2017 STATUS approved

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Last modified September 19 02:53 EDT 2020. Contains 337175 sequences. (Running on oeis4.)