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1, 2, 6, 8, 32, 54, 208, 256, 1458, 2560, 10648, 17496, 70304, 151424, 629856, 819200, 5064320, 9565938, 40781104, 65536000, 331619184, 623589472, 2728756984, 3673320192, 22315420160, 32127240704, 188286357654, 321009188864, 1577709824480, 2975389355520, 13283298844816, 17626562560000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Number of normal bases for GF(3^n) over GF(3). [Joerg Arndt, Jul 03 2011]
Apparently, for n>=2, a(n)=f(n)/(2^(n-1)) where f(n) is the number of Hamiltonian cycles in the 3-ary De Bruijn graph (i.e., graph with 3*n nodes {0..3*n-1} and edges from each i to 3*i (mod 3*n), 3*i+1 (mod 3*n), and 3*i+2 (mod 3*n); cf. A192513). [Joerg Arndt, Jul 03 2011]
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PROG
| (PARI) /* see A003474(n) */
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CROSSREFS
| Sequence in context: A075999 A096999 A019199 * A076507 A117542 A045653
Adjacent sequences: A094675 A094676 A094677 * A094679 A094680 A094681
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KEYWORD
| more,nonn
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Jun 07 2004
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EXTENSIONS
| Terms > 5064320 by Joerg Arndt, Jul 03 2011.
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