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A249910 Digital root of A003500(n). 0

%I

%S 2,4,5,7,5,4,2,4,5,7,5,4,2,4,5,7,5,4,2,4,5,7,5,4,2,4,5,7,5,4,2,4,5,7,

%T 5,4,2,4,5,7,5,4,2,4,5,7,5,4,2,4,5,7,5,4,2,4,5,7,5,4,2,4,5,7,5,4,2,4,

%U 5,7,5,4,2,4,5,7,5,4,2,4,5,7,5,4,2,4,5,7,5,4,2,4,5,7,5,4,2,4,5,7,5,4

%N Digital root of A003500(n).

%C Periodic with cycle of length 6: {2,4,5,7,5,4}. a(n) may be expressed as the decimal expansion of 246/1001. Sequence is palindromic.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, -1, 1).

%F a(n) = 4*a(n-1) - a(n-2), reduced to digital root.

%F a(n) = digital root of (2 + sqrt(3))^n + ( 2 - sqrt(3))^n.

%t LinearRecurrence[{1, 0, -1, 1}, {2, 4, 5, 7}, 102] (* _Ray Chandler_, Jul 25 2016*)

%Y Cf. A010888, A003500.

%K nonn,base

%O 0,1

%A _Peter M. Chema_, Dec 17 2014

%E More terms from _Ray Chandler_, Jul 25 2016

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Last modified January 20 01:18 EST 2022. Contains 350467 sequences. (Running on oeis4.)