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Sum of kⁿ·rᵏ/k! over k ≥ a is eʳ times the Touchard polynomial (Dobiński's formula e·Bₙ at r = 1) minus the terms below a, and a polynomial over k! is the sum of its terms - #577

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Sum of kⁿ·rᵏ/k! over k ≥ a is eʳ times the Touchard polynomial (Dobiński's formula e·Bₙ at r = 1) minus the terms below a, and a polynomial over k! is the sum of its terms#577
enumeratio wants to merge 1 commit into
cortex-js:mainfrom
enumeratio:dobinski-sums

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  1. Commits on Nov 13, 2026