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A073851
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Cumulative sum of initial digits of (n base 5).
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1
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0, 1, 3, 6, 10, 11, 12, 13, 14, 15, 17, 19, 21, 23, 25, 28, 31, 34, 37, 40, 44, 48, 52, 56, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = Sum_{i=0..n} first-digit(i base 4) where (i base 5) = A007091(i);
a(n) = Sum_{i=1..n} floor(n / 5^(floor(log_5(n)))).
a(n+1) = a(n) + first-digit-of((n+1) (base 5)).
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EXAMPLE
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n in init cumulative
n base 5 dgt sum
- ------ ---- ----------
0 0 0 0
1 1 1 1
2 2 2 3
3 3 3 6
4 4 4 10
5 10 1 11
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PROG
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(PARI) a(n) = if (n, sum(k=1, n, digits(k, 5)[1]), 0); \\ Michel Marcus, Dec 13 2017
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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STATUS
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approved
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