A047607 Numbers that are congruent to {0, 1, 2, 3, 5} mod 8.

0, 1, 2, 3, 5, 8, 9, 10, 11, 13, 16, 17, 18, 19, 21, 24, 25, 26, 27, 29, 32, 33, 34, 35, 37, 40, 41, 42, 43, 45, 48, 49, 50, 51, 53, 56, 57, 58, 59, 61, 64, 65, 66, 67, 69, 72, 73, 74, 75, 77, 80, 81, 82, 83, 85, 88, 89

Offset

1,3

Links

Table of n, a(n) for n=1..57.

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

Formula

G.f.: x^2*(3*x^4 + 2*x^3 + x^2 + x + 1)/((x-1)^2*(x^4 + x^3 + x^2 + x + 1)). [Colin Barker, Jul 02 2012]

Mathematica

Flatten[Table[8n + {0, 1, 2, 3, 5}, {n, 0, 15}]] (* Alonso del Arte, Jan 13 2014 *)

Prog

(PARI) a(n)=(n-1)\5<<3+(n-1)%5+(n%5==0) \\ Charles R Greathouse IV, Sep 06 2011

Crossrefs

Sequence in context: A169655 A286489 A002153 * A113051 A047372 A308469

Adjacent sequences: A047604 A047605 A047606 * A047608 A047609 A047610

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved