A010889 Simple periodic sequence: repeat 1,2,3,4,5,6,7,8,9,10.

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

Offset

0,2

Comments

Partial sums are given by A130488(n)+n+1. - Hieronymus Fischer, Jun 08 2007

Continued fraction expansion of (232405+sqrt(71216963807))/348378. [From Klaus Brockhaus, May 15 2010]

Links

Table of n, a(n) for n=0..100.

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

Formula

a(n) = 1 + (n mod 10) - Paolo P. Lava, Nov 21 2006

From Hieronymus Fischer, Jun 08 2007: (Start)

a(n) = A010879(n)+1.

G.f.: (Sum_{k=0..9} (k+1)*x^k)/(1-x^10).

G.f.: (10x^11-11x^10+1)/((1-x^10)(1-x)^2). (End)

Mathematica

PadRight[{}, 120, Range[10]] (* Harvey P. Dale, Feb 22 2015 *)

Prog

(Python) def a(n): return n % 10 + 1 # Paul Muljadi, Aug 06 2024

Crossrefs

Cf. A010872, A010873, A010874, A010875, A010876, A010877, A010878, A004526, A002264, A002265, A002266.

Cf. A177933 (decimal expansion of (232405+sqrt(71216963807))/348378). [From Klaus Brockhaus, May 15 2010]

Sequence in context: A190599 A214587 A365762 * A053831 A263131 A349315

Adjacent sequences: A010886 A010887 A010888 * A010890 A010891 A010892

Keyword

nonn,easy

Author

N. J. A. Sloane.

Extensions

More terms from Klaus Brockhaus, May 15 2010

Status

approved