A171654 Period 10: repeat 0, 1, 6, 7, 2, 3, 8, 9, 4, 5.

0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5, 0, 1, 6, 7, 2, 3, 8, 9, 4, 5

Offset

0,3

Comments

The repeating part contains all ten digits.

Links

Table of n, a(n) for n=0..89.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1).

Formula

a(n) = A171507(n+1) mod 10.

a(2n) = A059629(n) mod 10; a(2n+1) = A139788(n).

abs(a(n+1)-a(n)) = A010686(n).

G.f.: -x*(1 + 6*x + 7*x^2 + 2*x^3 + 3*x^4 + 8*x^5 + 9*x^6 + 4*x^7 + 5*x^8) / ( (x-1)*(1+x)*(x^4 + x^3 + x^2 + x + 1)*(x^4 - x^3 + x^2 - x + 1) ). - R. J. Mathar, Jul 13 2011

Crossrefs

Sequence in context: A021602 A198098 A021941 * A197916 A216103 A198823

Adjacent sequences: A171651 A171652 A171653 * A171655 A171656 A171657

Keyword

nonn,easy

Author

Paul Curtz, Dec 14 2009

Extensions

More terms from Jinyuan Wang, Feb 26 2020

Status

approved