A079043 - OEIS

%I #19 May 03 2014 11:39:17

%S 1,8,15,22,29,36,43,50,57,64,71,78,85,92,99,106,219,332,445,558,671,

%T 784,897,1010,1123,1236,1349,1462,1575,1688,1801,1914,2027,2140,2253,

%U 2366,2479,2592,2705,2818,2931,3044,3157,3270,3383,3496,3609,3722,3835,3948

%N a(0)=1, then the fractional part of Pi*a(n) decreases monotonically to zero.

%C See PARI program for a more precise definition. - _N. J. A. Sloane_, May 03 2014

%C Question: what is the largest term before consecutive terms differ by a number > 113? - _J. Lowell_, Apr 16 2014

%C Answer: 33102 at index 306. - _Michel Marcus_, Apr 25 2014

%H Michel Marcus, <a href="/A079043/b079043.txt">Table of n, a(n) for n = 0..327</a>

%o (PARI) x=1; y=1; f(v)=v*Pi; a(n)=if(n<0,0,b=y+1; while(frac(f(b))>frac(f(x)),b++); x=b; y=b; b)

%Y Cf. A001519.

%K nonn

%O 0,2

%A _Benoit Cloitre_, Feb 01 2003