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 A288535 Array RATS(b,n) by upward antidiagonals: Reverse Add Then Sort digits of n>0 in base b>1. 3
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 LINKS Table of n, a(n) for n=2..82. J. Thiel, On RATS sequences in general bases, Integers, 14 (2014), #A50. Index entries for sequences related to RATS: Reverse, Add Then Sort EXAMPLE 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, ... MATHEMATICA 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}]] CROSSREFS Cf. A004000, A036839 (row 10), A191780, A288536, A288537. Sequence in context: A339749 A277859 A308566 * A105117 A100876 A089215 Adjacent sequences: A288532 A288533 A288534 * A288536 A288537 A288538 KEYWORD nonn,tabl,base,easy AUTHOR Andrey Zabolotskiy, Jun 11 2017 STATUS approved

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Last modified February 23 07:33 EST 2024. Contains 370269 sequences. (Running on oeis4.)