OFFSET
1,2
COMMENTS
Write a(n)=[(bn+c)r]-b[nr]-[cr]. If r>0 and b and c are integers satisfying b>=2 and 0<=c<=b-1, then 0<=a(n)<=b. The positions of 0 in the sequence a are of interest, as are the position sequences for 1,2,...,b. These b+1 position sequences comprise a partition of the positive integers.
Examples:
(sqrt(2),2,0): A190480
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..1000
MATHEMATICA
PROG
(Python)
from sympy import sqrt, floor
r=sqrt(2)
def a(n): return floor((2*n + 1)*r) - 2*floor(n*r) - floor(r)
print([a(n) for n in range(1, 501)]) # Indranil Ghosh, Jul 02 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, May 11 2011
STATUS
approved