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 A340353 a(n) is the least nonnegative integer value of n^(n+1)/k - (n+1)^n. 1
 17, 399, 7849, 22319, 3667649, 24062143, 162261467, 24062575399, 2395420006033, 3450216222287, 3143661612445145, 9699097864062431, 160760166535731149, 25125784419171337983, 11877172892329028459041, 13911873927978371193431, 32347093457545958193355601, 141211970553048451362803599 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 LINKS Robert Israel, Table of n, a(n) for n = 3..149 EXAMPLE For n = 6, the greatest divisor k of 6^7 such that (6^7)/k > 7^6 is 2, so a(6) = (6^7)/2-7^6 = 22319. MAPLE f:= proc(n) local a, b, k;   a:= n^(n+1); b:= (n+1)^n;   k:= max(select(t -> a/t >= b, numtheory:-divisors(a)));   a/k-b end proc: map(f, [\$3..30]); CROSSREFS Sequence in context: A327732 A012200 A340972 * A007925 A097201 A053106 Adjacent sequences:  A340350 A340351 A340352 * A340354 A340355 A340356 KEYWORD nonn AUTHOR J. M. Bergot and Robert Israel, Jan 05 2021 STATUS approved

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Last modified August 11 20:13 EDT 2022. Contains 356067 sequences. (Running on oeis4.)