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A114947
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Number of monic irreducible polynomials over GF(5) of degree <= n.
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2
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5, 15, 55, 205, 829, 3409, 14569, 63319, 280319, 1256567, 5695487, 26039187, 119939427, 555899247, 2590404239, 12127122989, 57005914349, 268933430849, 1272801132329, 6041172226049, 28747703565329, 137119782755669, 655421041672109, 3138947897124609
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OFFSET
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1,1
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LINKS
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FORMULA
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MAPLE
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with(numtheory):
b:= n-> add(mobius(d) *5^(n/d)/n, d=divisors(n)):
a:= n-> add(b(k), k=1..n):
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MATHEMATICA
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f[n_] := DivisorSum[n, MoebiusMu[#] * 5^(n/#) &] / n; Accumulate[Array[f, 30]] (* Amiram Eldar, Aug 24 2023 *)
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PROG
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(PARI) a(n)=sum(m=1, n, 1/m* sumdiv(m, d, moebius(d)*5^(m/d) ) ); /* Joerg Arndt, Jul 04 2011 */
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Gary L Mullen (mullen(AT)math.psu.edu) and Ken Hicks, Jan 06 2006
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EXTENSIONS
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STATUS
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approved
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