

A249910


Digital root of A003500(n).


0



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, 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, 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
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OFFSET

0,1


COMMENTS

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.


LINKS

Table of n, a(n) for n=0..101.
Index entries for linear recurrences with constant coefficients, signature (1, 0, 1, 1).


FORMULA

a(n) = 4*a(n1)  a(n2), reduced to digital root.
a(n) = digital root of (2 + sqrt(3))^n + ( 2  sqrt(3))^n.


MATHEMATICA

LinearRecurrence[{1, 0, 1, 1}, {2, 4, 5, 7}, 102] (* Ray Chandler, Jul 25 2016*)


CROSSREFS

Cf. A010888, A003500.
Sequence in context: A257433 A005532 A026202 * A025511 A224367 A308219
Adjacent sequences: A249907 A249908 A249909 * A249911 A249912 A249913


KEYWORD

nonn,base


AUTHOR

Peter M. Chema, Dec 17 2014


EXTENSIONS

More terms from Ray Chandler, Jul 25 2016


STATUS

approved



