login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A071415 Maximal m such that all numbers in [0,m] are expressible as a*b + c with a + c <= n, b <= n and a,b,c positive integers. 0
1, 4, 7, 10, 17, 22, 32, 38, 51, 66, 75, 93, 113, 124, 147, 172, 199, 214, 244, 276, 310, 328, 365, 404, 445, 488, 511, 557, 605, 655, 707, 734, 789, 846, 905, 966, 1029, 1062, 1128, 1196, 1266, 1338, 1412, 1450, 1527, 1606, 1687, 1770, 1855, 1942, 1987, 2077 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n)/n^2 seems to tend to 1 as n tends to infinity.

LINKS

Table of n, a(n) for n=1..52.

EXAMPLE

a(3)=3 because 1 = 0*3 + 1, 2 = 0*3 + 2, 3 = 0*3 + 3, 4 = 1*3 + 1, 5 = 1*3 + 2, 6 = 2*3 + 0, 7 = 2*3 + 1 and 8 is not expressible in that form.

CROSSREFS

Sequence in context: A310716 A310717 A119249 * A310718 A310719 A103408

Adjacent sequences:  A071412 A071413 A071414 * A071416 A071417 A071418

KEYWORD

nonn

AUTHOR

Sascha Kurz, May 29 2002

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 20 19:53 EST 2022. Contains 350472 sequences. (Running on oeis4.)