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A114947
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Number of monic irreducible polynomials over GF(5) of degree <= n.
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1
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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MAPLE
| with (numtheory): b:= n-> add (mobius(d) *5^(n/d)/n, d=divisors(n)): a:= n-> add (b(k), k=1..n): seq (a(n), n=1..30); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 23 2008]
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PROG
| (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
| Partial sums of A001692. 5th column of A143328. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 23 2008]
Sequence in context: A006358 A054108 A149585 * A149586 A149587 A149588
Adjacent sequences: A114944 A114945 A114946 * A114948 A114949 A114950
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KEYWORD
| nonn
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AUTHOR
| Gary L Mullen (mullen(AT)math.psu.edu) and Ken Hicks, Jan 06 2006
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EXTENSIONS
| More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 23 2008
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