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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.)