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 A279020 a(n) = unreduced numerator in Sum_{k=1..n} (-1)^(k-1)/k^k. 1
 0, 1, 3, 85, 21652, 67690148, 3158065145088, 2600806474859606784, 43634288683151793919033344, 16904817514490272003065681518985216, 169048175123324778807714958980684133171200000, 48231417258392463006590622244366007983063473271603200000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Daniel Suteu, Table of n, a(n) for n = 0..19 Wikipedia, Sophomore's dream. FORMULA a(n) ~ A083648 * A002109(n). a(0) = 0, a(n) = n^n * a(n-1) + (-1)^(n-1) * A002109(n-1). PROG (PARI) sum(k=1, n, (-1)^(k-1)/k^k) * prod(k=1, n, k^k) CROSSREFS Cf. A083648. Sequence in context: A120264 A292830 A185142 * A302947 A326948 A159053 Adjacent sequences:  A279017 A279018 A279019 * A279021 A279022 A279023 KEYWORD nonn,easy AUTHOR Daniel Suteu, Dec 03 2016 STATUS approved

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Last modified May 27 12:27 EDT 2020. Contains 334657 sequences. (Running on oeis4.)