A171891 1 and all numbers >= 10.

1, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77

Offset

1,2

Comments

Used to illustrate Besicovitch's density theorem.

References

H. Halberstam and K. F. Roth, Sequences, Oxford, 1966; see p. 6.

Links

Table of n, a(n) for n=1..69.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

G.f.: x*(1+8*x-8*x^2)/(1-x)^2. - Bruno Berselli, Sep 02 2011

Mathematica

Table[n + 8 - 8 Boole[n == 1], {n, 69}] (* or *)
Rest@ CoefficientList[Series[x (1 + 8 x - 8 x^2)/(1 - x)^2, {x, 0, 69}], x] (* Michael De Vlieger, May 03 2017 *)

Prog

(PARI) if(n==1, 1, n+9) \\ Charles R Greathouse IV, Sep 02 2011

Crossrefs

Sequence in context: A350494 A168100 A088475 * A328075 A001637 A308407

Adjacent sequences: A171888 A171889 A171890 * A171892 A171893 A171894

Keyword

nonn,easy

Author

N. J. A. Sloane, Oct 19 2010

Status

approved