login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A086146 a(n) is the smallest k>=n such that the number of partitions of k is a multiple of n, or -1 if no such k exists. 1
1, 2, 3, 11, 7, 9, 10, 11, 14, 19, 12, 21, 28, 19, 24, 66, 54, 21, 20, 58, 24, 25, 32, 70, 44, 28, 39, 55, 91, 97, 44, 66, 35, 94, 39, 80, 86, 47, 129, 66, 45, 75, 100, 58, 129, 75, 56, 70, 68, 74, 178, 62, 66, 340, 58, 75, 209, 97, 93, 124, 115, 101, 138, 66, 84, 75, 111, 94 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

I do not know if a(n) exists for all n. First term which is currently unknown is a(2219) (a(2219) > 11600, while a(2218) = 2602).

LINKS

Table of n, a(n) for n=1..68.

EXAMPLE

a(4) is 11 because 11 is the smallest number for which P(11) is divisible by 4, where P() is the partition function.

MAPLE

for i from 2 while i < 30000 do for j from i while j < 1000000000 do c := numbpart(j); if (c mod i = 0) then print(i, j); break; end if; end do; end do;

# alternative

A086146 := proc(n)

    local k ;

    for k from n do

        if combinat[numbpart](k) mod n =0 then

            return k;

        end if;

    end do:

end proc: # R. J. Mathar, Apr 22 2013

CROSSREFS

Cf. A046641.

Sequence in context: A282770 A145077 A127376 * A083758 A127494 A320264

Adjacent sequences:  A086143 A086144 A086145 * A086147 A086148 A086149

KEYWORD

nonn

AUTHOR

Jim Nastos, Aug 25 2003

EXTENSIONS

More terms from Ray Chandler, Sep 16 2003

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 December 7 22:29 EST 2019. Contains 329850 sequences. (Running on oeis4.)