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A133874 n modulo 4 repeated 4 times. 4
1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Periodic with length 4^2=16.

LINKS

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

FORMULA

a(n)=(1+floor(n/4)) mod 4.

a(n)=A010873(A002265(n+4)).

a(n)=1+floor(n/4)-4*floor((n+4)/16).

a(n)=(((n+4) mod 16)-(n mod 4))/4.

a(n)=((n+4-(n mod 4))/4) mod 4.

G.f. g(x)=(1+x+x^2+x^3+2x^4+2x^5+2x^6+2x^7+3x^8+3x^9+3x^10+3x^11)/(1-x^16).

G.f. g(x)=((1-x^4)*(1+2x^4+3x^8))/((1-x)(1-x^16)).

G.f. g(x)=(3x^16-4x^12+1)/((1-x)(1-x^4)(1-x^16)).

G.f. g(x)=(1+2x^4+3x^8)/((1-x)(1+x^4)(1+x^8)).

MATHEMATICA

Flatten[Table[Table[Mod[n, 4], {4}], {n, 30}]] (* Harvey P. Dale, Dec 22 2013 *)

CROSSREFS

Cf. A000040, A133620-A133625, A133630, A038509, A133634-A133636.

Cf. A133884, A133880, A133890, A133900, A133910.

Sequence in context: A104186 A184320 A092363 * A053384 A321857 A186313

Adjacent sequences:  A133871 A133872 A133873 * A133875 A133876 A133877

KEYWORD

nonn

AUTHOR

Hieronymus Fischer, Oct 10 2007

STATUS

approved

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Last modified December 15 20:00 EST 2019. Contains 330000 sequences. (Running on oeis4.)