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A109212
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In the decimal expansion of Pi, lengths of subsequences with sum = 100.
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2
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20, 22, 18, 18, 19, 19, 19, 22, 22, 22, 20, 19, 21, 21, 21, 22, 25, 22, 24, 23, 24, 24, 23, 23, 25, 24, 26, 25, 25, 26, 27, 27, 26, 29, 29, 26, 27, 26, 26, 25, 24, 21, 21, 20, 19, 20, 20, 20, 20, 20, 20, 20, 19, 21, 24, 23, 23, 23, 23, 22, 21, 23, 23, 25, 26, 26, 25, 26, 26
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OFFSET
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1,1
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COMMENTS
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Average length is about 100/4.5=22.22 because average decimal digit is about 4.5.
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LINKS
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FORMULA
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PROG
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(PARI) default(realprecision, 101000); v=digits(floor(Pi*10^10^5));
lista(nn) = {my(x=21, s=103); for(k=2, nn, s-=v[k-1]; if(s==100, print1(x-k+1, ", "), while(s<100, s+=v[x++]); if(s==100, print1(x-k+1, ", ")))); } \\ Jinyuan Wang, Mar 22 2020
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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