A061094 The alternating group A_n contains an element x which is not conjugate to its inverse (equivalently not all the entries in the character table of A_n are real numbers).

3, 4, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77

Offset

1,1

Comments

Every n >= 15 belongs to this sequence, i.e., the complement of this sequence is the finite sequence 1,2,5,6,10,14 for which all the entries in the character table of A_n are real.

Links

Table of n, a(n) for n=1..71.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Prog

(PARI) a(n)=if(n>8, n+6, [3, 4, 7, 8, 9, 11, 12, 13][n]) \\ Charles R Greathouse IV, Jun 20 2024

Crossrefs

Sequence in context: A026343 A080722 A092754 * A100991 A075821 A120515

Adjacent sequences: A061091 A061092 A061093 * A061095 A061096 A061097

Keyword

nonn,easy

Author

Ola Veshta (olaveshta(AT)my-deja.com), May 28 2001

Extensions

More terms from Sascha Kurz, Mar 25 2002

Status

approved