John D. Cook 3/15/2026

Langford series

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This article introduces Langford's problem, a combinatorial puzzle where two copies of numbers 1 through n must be arranged so that exactly k numbers appear between the two occurrences of k. It presents an example sequence for n=12 and states the condition for a solution: n must be congruent to 0 or 3 modulo 4. The content is related to algorithms and discrete mathematics within computer science.

Langford series

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