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A183227
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a(n) is the base-5 digit sum of 10^n-1.
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3
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0, 5, 11, 15, 19, 23, 31, 31, 35, 43, 51, 55, 59, 63, 63, 71, 79, 87, 91, 95, 95, 95, 107, 115, 123, 119, 135, 139, 135, 147, 159, 163, 159, 155, 163, 171, 175, 187, 179, 191, 195, 203, 211, 211, 211, 219, 219, 231, 235, 239
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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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EXAMPLE
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a(9) = 43 because 10^9 - 1 is written as 4021444444444_5, and 2^9 - 1 = 511 is written as 4021_5.
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MAPLE
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A053824 := proc(n) add(d, d=convert(n, base, 5)) ; end proc:
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PROG
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(PARI)\\L is a list of the N digits of 2^n - 1 in quinary
convert(n)={n = 2^n - 1; x=n; N=floor(log(n)/log(5))+1;
L = listcreate(N);
while(x, n=floor(n/5); r=x-5*n; listput(L, r); x=n; );
L; N};
print1("0, "); for(n = 1, 100, convert(n); s = 0; for(i = 1, N, s += L[i]; ); print1(s+4*n, ", "));
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CROSSREFS
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KEYWORD
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nonn,easy,base
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AUTHOR
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STATUS
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approved
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