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A158570 A007814((2n-1)!!+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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

It is a periodic sequence of period 8.

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

Terms of the simple continued fraction of 399/[5*sqrt(5595)-99]. [From Paolo P. Lava, Aug 05 2009]

LINKS

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

FORMULA

a(n)=1, if n==0,1,4,5 mod 8; a(n)=2, if n==2,6 mod 8; a(n)=4, if n==3 mod 8; a(n)=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)) [From R. J. Mathar, Apr 02 2009]

a(n)=(1/224)*{17*(n mod 8)+129*[(n+1) mod 8]-67*[(n+2) mod 8]-11*[(n+3) mod 8]+17*[(n+4) mod 8]+101*[(n+5) mod 8]-39*[(n+6) mod 8]-11*[(n+7) mod 8]}, with n>=0 [From Paolo P. Lava, Mar 30 2009]

MATHEMATICA

Table[Which[Mod[n, 8]==7, 5, Mod[n, 8]==3, 4, MemberQ[{2, 6}, Mod[n, 8]], 2, True, 1], {n, 120}] (* or *) PadRight[{}, 120, {1, 2, 4, 1, 1, 2, 5, 1}] (* Harvey P. Dale, May 05 2020 *)

CROSSREFS

A007814, A001147

Sequence in context: A336434 A007738 A186520 * A295224 A074749 A194524

Adjacent sequences:  A158567 A158568 A158569 * A158571 A158572 A158573

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, Mar 21 2009

STATUS

approved

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Last modified May 14 07:13 EDT 2021. Contains 343879 sequences. (Running on oeis4.)