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

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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

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

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]

Programs

Mathematica

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

Python

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

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)

Extensions

More terms from Klaus Brockhaus, May 15 2010