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A330970
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For any number n >= 0 with decimal digits (d_1, d_2, ..., d_k), the decimal expansion of a(n) is (n mod (1+d_1), n mod (1+d_2), ..., n mod (1+d_k)).
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3
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 11, 0, 11, 4, 13, 2, 11, 0, 19, 20, 1, 11, 23, 4, 11, 25, 3, 11, 29, 20, 31, 2, 11, 24, 35, 1, 15, 22, 39, 0, 11, 20, 33, 44, 3, 14, 27, 33, 49, 20, 31, 41, 51, 4, 11, 20, 31, 44, 59, 40, 51, 62, 3, 14, 25, 33, 43, 55, 69, 60
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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) <= n with equality iff n belongs to A330969.
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EXAMPLE
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For n = 42:
- 42 mod (1+4) = 2,
- 42 mod (1+2) = 0,
- hence a(42) = 20.
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PROG
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(PARI) a(n) = fromdigits(apply(d -> n%(d+1), digits(n)))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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