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fix(OEIS/109074): define b as A005156 (per definition) and fix index shift - #5231

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fix(OEIS/109074): define b as A005156 (per definition) and fix index shift#5231
tadamcz wants to merge 3 commits into
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tadamcz:fix-oeis-109074

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@tadamcz tadamcz commented Aug 31, 2026

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Define b as A005156 via the Razumov–Stroganov product formula (was incorrectly A001764) and fix the off-by-one in the ratio identity; adds b_0b_4 test lemmas.

Fixes #5225

@github-actions github-actions Bot added the oeis Conjectures from oeis.org label Aug 31, 2026
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tadamcz marked this pull request as ready for review August 31, 2026 20:35
@tadamcz tadamcz changed the title fix(OEIS/109074): define b as A005156 and fix index shift fix(OEIS/109074): define b as A005156 (per definition) and fix index shift Sep 1, 2026

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Checked the corrected sequence and indexing. The product gives 1, 1, 3, 26, 646 for b(0..4), and the shifted identity now lines up: frac(1)=1, frac(2)=3, frac(3)=26/3, etc., matching b(n+1)/b(n). This fixes both issues from #5225 without changing the intended conjecture. Looks good.

Comment thread FormalConjectures/OEIS/109074.lean Outdated
Comment thread FormalConjectures/OEIS/109074.lean Outdated
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tadamcz requested a review from Paul-Lez September 2, 2026 13:48
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Likely misformalization in OEIS/109074.lean

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