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A072932 Least k such that floor( (1+1/k)^n ) = floor( (1+1/n)^k ). 0
1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

If b(n) = abs( a(n) - 91n/100) then b(n) < 1/2 and sum(k=1,n,b(k)) is asymptotic to n/4.

LINKS

Table of n, a(n) for n=1..72.

FORMULA

a(n) is asymptotic to C*n with C a rational constant = 91/100; also a(100k)=91k

PROG

(PARI) a(n)=if(n<0, 0, s=1; while(abs(floor((1+1/n)^s)-floor((1+1/s)^n))>0, s++); s)

CROSSREFS

Sequence in context: A303788 A319288 A106744 * A029915 A108141 A291811

Adjacent sequences:  A072929 A072930 A072931 * A072933 A072934 A072935

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Aug 13 2002

STATUS

approved

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Last modified February 21 05:23 EST 2020. Contains 332086 sequences. (Running on oeis4.)