

A184618


a(n) = floor(n*r + h), where r=sqrt(2) and h=1/3; complement of A184619.


10



1, 3, 4, 5, 7, 8, 10, 11, 13, 14, 15, 17, 18, 20, 21, 22, 24, 25, 27, 28, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 44, 45, 47, 48, 49, 51, 52, 54, 55, 56, 58, 59, 61, 62, 63, 65, 66, 68, 69, 71, 72, 73, 75, 76, 78, 79, 80, 82, 83, 85, 86, 88, 89, 90, 92, 93, 95, 96, 97
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OFFSET

1,2


COMMENTS

Sequences of the form (floor(n*r + h)) are sometimes called nonhomogeneous Beatty sequences when h is not zero.


LINKS



FORMULA

a(n) = floor(n*r + h), where r=sqrt(2), h=1/3.


MATHEMATICA

r=2^(1/2); h=1/3; s=r/(r1);
Table[Floor[n*r+h], {n, 1, 120}] (* A184618 *)
Table[Floor[n*s+hh*s], {n, 1, 120}] (* A184619 *)


PROG



CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



