A158570 a(n) = A007814((2n-1)!! + 1).

1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1, 2, 4, 1, 1, 2, 5, 1, 1

Offset

1,2

Comments

Repeats with period 8.

Also the decimal expansion of the constant 124112510/99999999. - R. J. Mathar, Apr 02 2009

Links

Table of n, a(n) for n=1..105.

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

Formula

a(n) = 1 if n == 0,1,4,5 (mod 8),

2 if n == 2,6 (mod 8),

4 if n == 3 (mod 8),

5 if n == 7 (mod 8).

G.f.: -x*(1 + 2*x + 4*x^2 + x^3 + x^4 + 2*x^5 + 5*x^6 + x^7)/((x-1)*(1+x)*(x^2+1)*(x^4+1)). - R. J. Mathar, Apr 02 2009

Mathematica

PadRight[{}, 120, {1, 2, 4, 1, 1, 2, 5, 1}] (* Harvey P. Dale, May 05 2020 *)

Crossrefs

Cf. A007814, A001147.

Sequence in context: A336434 A007738 A186520 * A295224 A074749 A194524

Adjacent sequences: A158567 A158568 A158569 * A158571 A158572 A158573

Keyword

nonn,easy

Author

Vladimir Shevelev, Mar 21 2009

Status

approved