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 A277497 Number of cryptarithms of the form x + y = z in base n for which no summand contains any letter more than once and which have at least one solution. 2
 3, 49, 1020, 28666, 1099824, 57520786, 3882860433, 331811494082 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS Two cryptarithms are the same if one may be obtained from the other by a process of replacing letters and swapping the summands. For instance, the problem AB + BCD = DDD is the same as ABC + DA = CCC. Solutions must assign a different digit to each letter, and numbers may not begin with 0. LINKS Cryptarithms.com, Cryptarithms - Number Puzzles Eric M. Schmidt, C++ code to compute this sequence Eric M. Schmidt, List of solvable problems in base 3 EXAMPLE In base 10, the classic SEND + MORE = MONEY has an assignment of digits to the letters that makes the equation true, and is counted because neither SEND nor MORE contains a given letter more than once. In base 3, CBA + AB = CAA is solvable, and is counted. There are exactly two solutions: (A = 1, B = 0, C = 2) and (A = 2, B = 0, C = 1). CROSSREFS Cf. A277496. Sequence in context: A203760 A208935 A202534 * A173174 A302466 A303248 Adjacent sequences:  A277494 A277495 A277496 * A277498 A277499 A277500 KEYWORD nonn,base,hard,more AUTHOR Eric M. Schmidt, Oct 18 2016 STATUS approved

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Last modified January 22 15:13 EST 2022. Contains 350481 sequences. (Running on oeis4.)