A079043 a(0)=1, then the fractional part of Pi*a(n) decreases monotonically to zero.

1, 8, 15, 22, 29, 36, 43, 50, 57, 64, 71, 78, 85, 92, 99, 106, 219, 332, 445, 558, 671, 784, 897, 1010, 1123, 1236, 1349, 1462, 1575, 1688, 1801, 1914, 2027, 2140, 2253, 2366, 2479, 2592, 2705, 2818, 2931, 3044, 3157, 3270, 3383, 3496, 3609, 3722, 3835, 3948

Offset

0,2

Comments

See PARI program for a more precise definition. - N. J. A. Sloane, May 03 2014

Question: what is the largest term before consecutive terms differ by a number > 113? - J. Lowell, Apr 16 2014

Answer: 33102 at index 306. - Michel Marcus, Apr 25 2014

Links

Michel Marcus, Table of n, a(n) for n = 0..327

Prog

(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)

Crossrefs

Cf. A001519.

Sequence in context: A003331 A345783 A016993 * A291747 A024734 A024956

Adjacent sequences: A079040 A079041 A079042 * A079044 A079045 A079046

Keyword

nonn

Author

Benoit Cloitre, Feb 01 2003

Status

approved