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A061253
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Let G_n be the elementary Abelian group G_n = (C_3)^n; a(n) is the number of times the number 1 appears in the character table of G_n.
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1
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5, 33, 261, 2241, 19845, 177633, 1595781, 14353281, 129153285, 1162300833, 10460471301, 94143533121, 847289672325, 7625600673633, 68630386930821, 617673424981761, 5559060652648965, 50031545357280033, 450283906665838341
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,200
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FORMULA
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a(n) = 3^(n-1) * (3^n + 2)
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EXAMPLE
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a(1) = 5 because the character table of C_3 is / 1, 1, 1 / 1, z, z^2 / 1, z^2, z / where z = e^(2 * pi * i /3) is a primitive cube root of unity.
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PROG
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(PARI) { for (n=1, 200, write("b061253.txt", n, " ", 3^(n-1) * (3^n + 2)) ) } [From Harry J. Smith, Jul 20 2009]
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CROSSREFS
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Cf. A006516.
Sequence in context: A056159 A171804 A199552 * A111530 A087633 A135075
Adjacent sequences: A061250 A061251 A061252 * A061254 A061255 A061256
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KEYWORD
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nonn
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AUTHOR
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Ahmed Fares (ahmedfares(AT)my-deja.com), Jun 02 2001
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EXTENSIONS
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More terms from Harry J. Smith, Jul 20 2009
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STATUS
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approved
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