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A133875
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n modulo 5 repeated 5 times.
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5
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1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| Periodic with length 5^2=25.
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FORMULA
| a(n)=(1+floor(n/5)) mod 5.
a(n)=A010874(A002266(n+5)).
a(n)=1+floor(n/5)-5*floor((n+5)/25).
a(n)=(((n+5) mod 25)-(n mod 5))/5.
a(n)=((n+5-(n mod 5))/5) mod 5.
a(n)=A010874((n+5-A010874(n))/5).
a(n)=binomial(n+5,n) mod 5 =binomial(n+5,5) mod 5.
a(n)= +a(n-1) -a(n-5) +a(n-6) -a(n-10) +a(n-11) -a(n-15) +a(n-16) -a(n-20) +a(n-21). - R. J. Mathar, Sep 03 2011
G.f.: ( 1+2*x^5+3*x^10+4*x^15 ) / ( (1-x)*(x^20+x^15+x^10+x^5+1) ). - R. J. Mathar, Sep 03 2011
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CROSSREFS
| Cf. A133620-A133625, A133630, A038509, A133634-A133636.
Cf. A133885, A133880, A133890, A133900, A133910.
Sequence in context: A108602 A085290 A108611 * A104355 A092278 A105512
Adjacent sequences: A133872 A133873 A133874 * A133876 A133877 A133878
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KEYWORD
| nonn,less
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AUTHOR
| Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Oct 10 2007
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