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A short proof of Mathar's 2021 recurrence conjecture for the Lehmer-Comtet diagonal A045406

Niu, Tong
arXiv (All) · Papers
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05a1505a1911b3711b83combinatorics
For OEIS sequence A045406, the column-2 diagonal of the Lehmer-Comtet triangle A008296, R. J. Mathar contributed in September 2021 the conjectured order-2 P-recursive recurrence \[ a(n) + (2n-7)\,a(n-1) + (n-4)^{2}\,a(n-2) \;=\; 0,\qquad n \ge 5. \] We give a short proof. Detlefs's harmonic-number c
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