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 A272090 Number of chiral partitions of n; number of irreducible representations of the symmetric group S_n with nontrivial determinant. 3
 0, 1, 2, 3, 5, 4, 8, 12, 20, 8, 16, 24, 40, 32, 64, 88, 152, 16, 32, 48, 80, 64, 128, 192, 320, 128, 256, 384, 640, 512, 1024, 1360, 2384, 32, 64, 96, 160, 128, 256, 384, 640, 256, 512, 768, 1280, 1024, 2048, 2816, 4864, 512, 1024, 1536, 2560, 2048, 4096, 6144, 10240, 4096 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Amritanshu Prasad, Table of n, a(n) for n = 1..9999 Arvind Ayyer, Amritanshu Prasad, Steven Spallone, Representations of symmetric groups with non-trivial determinant, arXiv:1604.08837 [math.RT], 2016. Arvind Ayyer, Amritanshu Prasad, Steven Spallone, Macdonald trees and determinants of representations for finite Coxeter groups, arXiv:1812.00608 [math.RT], 2018. Amritanshu Prasad, Sage program FORMULA a(n) = A000041(n) - A045923(n). If n = e + Sum_{i=1..r}2^ki in binary expansion, with e=0 or 1, 0(x != 0), b, 1); k1 = vk[1]; 2^sum(i=2, #vk, vk[i])*(2^(k1-1) + sum(v=1, k1-1, 2^((v+1)*(k1-2)-binomial(v, 2))) + eps*2^binomial(k1, 2)); ); } \\ Michel Marcus, May 11 2016 CROSSREFS Cf. A000041, A045923. Sequence in context: A046708 A185728 A285492 * A120255 A245608 A244154 Adjacent sequences:  A272087 A272088 A272089 * A272091 A272092 A272093 KEYWORD nonn AUTHOR Amritanshu Prasad, May 10 2016 STATUS approved

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Last modified January 17 18:14 EST 2020. Contains 330987 sequences. (Running on oeis4.)