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A056464
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Number of primitive (aperiodic) palindromes using exactly three different symbols.
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4
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0, 0, 0, 0, 6, 6, 36, 36, 150, 144, 540, 534, 1806, 1770, 5790, 5760, 18150, 17994, 55980, 55830, 170970, 170466, 519156, 518580, 1569744, 1567944, 4733670, 4732014, 14250606, 14244660, 42850116, 42844320, 128746410, 128728800
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OFFSET
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1,5
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REFERENCES
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M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia. [See A056391 for pdf file of Chap. 2]
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LINKS
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FORMULA
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a(n) = Sum_{d|n} mu(d)*A056454(n/d).
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MAPLE
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with(numtheory):with(combinat, stirling2):A056454:=n->3!*stirling2(floor((n+1)/2), 3); A056464:=n->add(mobius(d)*A056454(n/d), d=divisors(n)); # C. Ronaldo
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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