MidnightDeskJason Dong

Research

OEIS sequences and research work.

Independent work in mathematics and AI systems.

Contributions & acknowledgements

Contributions to others’ work, credited in the text or acknowledgements without an author credit.

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OEIS sequence research

OEIS profile
  1. A193996 — characterizing the eight-iteration caseA structural characterization of A193996 identifies it as the eight elements of the nontrivial 8-cycle under the sum-of-squares-of-digits map, together with the happy numbers of height 7. The revision was reviewed and published by OEIS.OEIS revision · Published · 2026
  2. A086183 — exact computation with a suffix automatonA C++20 implementation and complexity analysis were contributed for exact computation of A086183 using a suffix automaton and suffix ranks, with the cost of generating the digits of Pi explicitly separated from the stated bounds. The contribution was reviewed and published by OEIS.OEIS algorithm note · Published · 2026
  3. A193995 — clarifying happy-number iteration countsA clarification to A193995 was accepted and published by OEIS, resolving ambiguity between terms, iterations, and the stopping rule used to determine whether a number is happy.OEIS revision · Published · 2026

Papers

arXiv profile
  1. Repetition Avoidance in Curling-Number TransformsJoint work on repetition avoidance in words and their curling-number transforms, combining morphic constructions, Walnut verification, and exhaustive finite searches.arXiv preprint · Co-author · 2026
  2. The arc chromatic number of square gridsJoint work with Matthew Lewis, Ivet Lobo, Thomas Prellberg, and Ian Wanless on arc colourings of square grids, including exact values for G11 and G12.Public preprint · Co-author · 2026
  3. Quarter-Turn Functional Equation and Squared LengthA research manuscript exploring how a quarter-turn functional equation singles out a quadratic quantity that is later identified with squared Euclidean length through rotation compatibility and a bounded-scaling argument.Research manuscript · Journal submission · Sole author · 2026
  4. Incircle–Excircle Pythagorean ProofsTwo geometric proof variants using the incircle and A-excircle, with a discussion of their relationship to existing proofs.Geometry · proof writing

Experiments

  1. SMRA — VibeThinker-3B Reasoning AmplifierA frozen VibeThinker-3B baseline and reproducible S0–S1 evaluation framework for testing system-level reasoning improvement; formal results are pending.AI systems experiment · 2026