A177274 Periodic sequence: Repeat 1, 2, 3, 4, 5, 6, 7, 8, 9.

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

Offset

0,2

Comments

Interleaving of A131669 and A131669 without first five terms.

Continued fraction expansion of (684125+sqrt(635918528029))/1033802.

Decimal expansion of 13717421/111111111.

a(n) = A010888(n+1) = A010878(n)+1 = A117230(n+2)-1.

a(n) = A064806(n+1)-n-1.

Essentially first differences of A037123.

Links

Table of n, a(n) for n=0..104.

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

Formula

a(n) = (n mod 9)+1.

a(n) = a(n-9) for n > 8; 1; a(n) = n+1 for n <= 8.

G.f.: (1+2*x+3*x^2+4*x^3+5*x^4+6*x^5+7*x^6+8*x^7+9*x^8)/(1-x^9). [corrected by Georg Fischer, May 11 2019]

Mathematica

PadRight[{}, 120, Range[9]] (* Paolo Xausa, Jan 08 2024 *)

Prog

(Magma) &cat[ [1, 2, 3, 4, 5, 6, 7, 8, 9]: k in [1..12] ];

Crossrefs

Cf. A131669 (odd digits followed by positive even digits), A010888 (digital root of n), A010878 (n mod 9), A117230 (1 followed by (repeat 2, 3, 4, 5, 6, 7, 8, 9, 10), offset 1), A064806 (n + digital root of n), A037123, A177270 (decimal expansion of (684125+sqrt(635918528029))/1033802).

Sequence in context: A053837 A128244 A010888 * A349251 A131650 A033930

Adjacent sequences: A177271 A177272 A177273 * A177275 A177276 A177277

Keyword

cofr,easy,nonn

Author

Klaus Brockhaus, May 07 2010

Status

approved