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A002361 Denominators of convergents to fifth root of 2.
(Formerly M4062 N1684)
2

%I M4062 N1684

%S 1,6,7,20,27,47,74,269,6799,7068,35071,112281,371914,2715679,

%T 141587222,144302901,430193024,1434881973,3299956970,50934236523,

%U 105168430016,261271096555,1150252816236,18665316156331,38480885128898,288031512058617,326512397187515

%N Denominators of convergents to fifth root of 2.

%D D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.

%D P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Vincenzo Librandi, <a href="/A002361/b002361.txt">Table of n, a(n) for n = 1..1000</a>

%t Denominator[Convergents[2^(1/5), 30]] (* _Harvey P. Dale_, Apr 27 2012 *)

%o (PARI) a(n)= contfracpnqn(contfrac(2^(1/5), n))[2, 1]; \\ _Michel Marcus_, Sep 07 2013

%Y Cf. A002362, A005531.

%K nonn,frac

%O 1,2

%A _N. J. A. Sloane_.

%E More terms from _Herman P. Robinson_.

%E Definition clarified and more terms from Harvey P. Dale, Apr 27 2012

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Last modified November 16 17:04 EST 2019. Contains 329201 sequences. (Running on oeis4.)