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A288535
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Array RATS(b,n) by upward antidiagonals: Reverse Add Then Sort digits of n>0 in base b>1.
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3
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1, 2, 3, 2, 4, 3, 2, 1, 4, 3, 2, 4, 6, 8, 3, 2, 4, 6, 5, 4, 3, 2, 4, 1, 8, 10, 8, 7, 2, 4, 6, 8, 6, 15, 4, 3, 2, 4, 6, 8, 10, 12, 5, 14, 3, 2, 4, 6, 1, 10, 7, 18, 10, 4, 15, 2, 4, 6, 8, 10, 12, 14, 24, 15, 8, 3, 2, 4, 6, 8, 10, 12, 8, 21, 6, 5, 4, 15, 2, 4, 6
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OFFSET
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2,2
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LINKS
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EXAMPLE
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17 in base 3 is 122, 122+221=1120->112 which is 14 in decimal, thus RATS(3,17)=14.
The array begins:
1, 3, 3, 3, 3, 3, 7, ...
2, 4, 4, 8, 4, 8, 4, ...
2, 1, 6, 5, 10, 15, 5, ...
2, 4, 6, 8, 6, 12, 18, ...
2, 4, 1, 8, 10, 7, 14, ...
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MATHEMATICA
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rats[n_, b_: 10] := FromDigits[Sort[IntegerDigits[n + FromDigits[Reverse[IntegerDigits[n, b]], b], b]], b];
Flatten[Table[rats[n, s + 2 - n], {s, 20}, {n, s}]]
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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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