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A273005
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Sum of coefficients in the hereditary representation of n in base 10.
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2
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 3
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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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If n = Sum_{j=1..k} d_j*10^(e_j) where 0 <= e_1 < ... < e_k and 1 <= d_j <= 9, then a(n) = Sum_{j=1..k} (d_j + a(e_j)). - Pontus von Brömssen, Sep 17 2020
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EXAMPLE
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266 = 6 + 6*10^1 + 2*10^2 which can be represented as [6, [6, [1]], [2, [2]]], therefore a(266) = 6 + 6 + 1 + 2 + 2 = 17.
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PROG
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(PARI) (hr(n, b=10)=if(1<#n=digits(n, b), my(v=if(n[#n], [n[#n]], [])); forstep(i=#n-1, 1, -1, n[i]&&v=concat(v, [[n[i], hr(#n-i, b)]])); v, n)); (cc(v)=if(type(v)=="t_VEC", sum(i=1, #v, cc(v[i])), v)); a(n)=cc(hr(n, 10))
(Python)
s=str(n)[::-1]
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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