cp's OEIS Frontend

A256217 a(n) = A000011(n) - A256216(n).

%I A256217 #46 Jul 04 2021 16:11:08
%S A256217 1,2,2,4,4,7,8,14,16,26,32,52,64,101,128,202,256,399,512,796,1024,
%T A256217 1583,2048,3162,4096,6302,8192,12586,16384,25124,32768,50186,65536,
%U A256217 100232,131072,200266,262144,400115,524288,799568,1048576,1597834,2097152,3193438,4194304,6382637,8388608,12757770,16777216,25501370
%N A256217 a(n) = A000011(n) - A256216(n).
%C A256217 Counts contiguously substituted cycloalkane polyols (CSCPs).
%C A256217 Consider a bracelet of n beads, each colored blue on one side and red on the other -- each bead changes color when the bracelet is turned over. Reversal is then the same as swapping the colors. a(n) is the number of colorings that are invariant under reversal, up to rotation and turning over. - _Ed Wynn_, May 22 2021
%H A256217 Seiichi Manyama, <a href="/A256217/b256217.txt">Table of n, a(n) for n = 1..6644</a>
%H A256217 Shinsaku Fujita, <a href="https://www.webfile.jp/lite-tcsj/dl.php?i=2071&amp;s=aaa3068608b595219b60">alpha-beta Itemized Enumeration of Inositol Derivatives and m-Gonal Homologs by Extending Fujita's Proligand Method</a>, Bull. Chem. Soc. Jpn. 2017, 90, 343-366; doi:10.1246/bcsj.20160369. See Table 8.
%H A256217 A. Yajima, <a href="https://www.jstage.jst.go.jp/article/bcsj/87/11/87_20140204/_pdf">How to calculate the number of stereoisomers of inositol-homologs</a>, Bull. Chem. Soc. Jpn. 2014, 87, 1260-1264 | doi:10.1246/bcsj.20140204. See Table 2 (M_c).
%F A256217 a(n) = A056503(n) for odd n. - _Andrew Howroyd_, Jun 14 2021
%e A256217 The a(7) = 8 bracelets are rrrrrrr, rrrrrrb, rrrrrbb, rrrrbbb, rrrrbrb, rrrbrrb, rrbbrrb, rrbrbrb. - _Ed Wynn_, May 22 2021
%e A256217 a(12) = A056503(12) + 1. The extra bracelet is rrrbrrbbbrbb. - _Andrew Howroyd_, Jun 25 2021
%Y A256217 Cf. A000011, A053656, A056503, A066314, A256216.
%Y A256217 The 8 sequences in Table 8 of Fujita (2017) are A053656, A000011, A256216, A256217, A123045, A283846, A283847, A283848.
%K A256217 nonn
%O A256217 1,2
%A A256217 _N. J. A. Sloane_, Mar 26 2015