

A117230


Start with 1 and repeatedly reverse the digits and add 1 to get the next term.


7



1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..100.
N. J. A. Sloane and others, Sequences of RADD type, OEIS wiki.
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 1).


FORMULA

Has period 9.
a(n)=2+[(n2) mod 9]9*(C[2*(n1),n1] mod 2), with n>=1.  Paolo P. Lava, Oct 21 2008
G.f.: x*(9*x^9 +9*x^8 +8*x^7 +7*x^6 +6*x^5 +5*x^4 +4*x^3 +3*x^2 +2*x +1) / ((x 1)*(x^2 +x +1)*(x^6 +x^3 +1)).  Colin Barker, May 23 2014


MAPLE

read transforms; t1:=[1]; for n from 1 to 80 do t1:=[op(t1), 1+digrev(t1[n])]; od:


MATHEMATICA

Join[{1}, LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 1}, {2, 3, 4, 5, 6, 7, 8, 9, 10}, 99]] (* Ray Chandler, Jul 18 2015 *)


PROG

(PARI) a(n)=if(n>1, (n2)%9+2, 1) \\ M. F. Hasler, May 22 2014


CROSSREFS

Cf. A117830, A117521, A117828, A117800, A117816, A117817.
Sequence in context: A227362 A297236 A103693 * A093882 A138953 A307629
Adjacent sequences: A117227 A117228 A117229 * A117231 A117232 A117233


KEYWORD

nonn,base,easy


AUTHOR

N. J. A. Sloane, following discussions with Luc Stevens, May 04 2006


EXTENSIONS

Correction to the terms of the sequence (inserted missing term) Jeremy Gardiner, Jun 17 2010


STATUS

approved



