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A100530
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Numbers == 0,2,5,9 modulo 10.
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0
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0, 2, 5, 9, 10, 12, 15, 19, 20, 22, 25, 29, 30, 32, 35, 39, 40, 42, 45, 49, 50, 52, 55, 59, 60, 62, 65, 69, 70, 72, 75, 79, 80, 82, 85, 89, 90, 92, 95, 99, 100, 102, 105, 109, 110, 112, 115, 119, 120, 122, 125, 129, 130, 132, 135, 139, 140, 142, 145, 149, 150, 152, 155
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = a(n-1) + Mod[n,4] + 1; a(0)=0.
a(n) = a(n-1) + a(n-4) - a(n-5) for n > 4.
G.f.: x*(x^3 + 4*x^2 + 3*x + 2)/(x^5 - x^4 - x + 1). (End)
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MATHEMATICA
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digits=200 f[n_]:=f[n]=f[n-1]+Mod[n, 4]+1 f[0]=0; a=Table[f[n], {n, 1, digits}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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