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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 (list; graph; refs; listen; history; text; internal format)
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(n-1) - a(n-2), 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

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Last modified November 26 17:52 EST 2021. Contains 349343 sequences. (Running on oeis4.)