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A181955
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Weighted sum of all cyclic subgroups of prime order in the Alternating group.
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3
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0, 0, 3, 18, 90, 390, 2205, 10878, 45318, 256350, 5530305, 55869330, 865551258, 9892489698, 78223384785, 470010394350, 24530527675230, 409760923017198, 10595007772540113, 160826214447439770, 1585844008081570650, 16787211082925012730, 1362379219330719093273
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OFFSET
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1,3
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COMMENTS
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Sum of p for all p-subgroups in Alt_n.
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LINKS
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FORMULA
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PROG
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(PARI) a(n)={sum(p=2, n, if(isprime(p), sum(k=1, n\p, if(p>2||k%2==0, n!/(k!*(n-k*p)!*p^k)))*p/(p-1)))} \\ Andrew Howroyd, Jul 03 2018
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CROSSREFS
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Cf. A181951 (number of such subgroups).
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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