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!)
A035537 Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 3). 0
0, 0, 0, 0, 1, 0, 1, 2, 2, 3, 5, 5, 9, 10, 15, 18, 24, 30, 40, 47, 65, 76, 97, 120, 150, 179, 229, 270, 336, 404, 494, 588, 722, 852, 1035, 1227, 1476, 1744, 2090, 2461, 2935, 3446, 4092, 4795, 5665, 6627, 7801, 9096, 10680, 12426, 14528, 16881, 19680, 22800, 26525 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Table of n, a(n) for n=0..54.

MATHEMATICA

equalQ[partit_] := With[{t = Total[Switch[Mod[#, 3], 0, {1, 0, 0}, 1, {0, 1, 0}, 2, {0, 0, 1}]& /@ partit]}, t[[1]] > 0 && t[[1]] == t[[2]]]; a[n_] := Select[IntegerPartitions[n], equalQ] // Length; a[0] = 0; Table[an = a[n]; Print["a(", n, ") = ", an]; an, {n, 0, 54}] (* Jean-François Alcover, Dec 07 2016 *)

CROSSREFS

Sequence in context: A011971 A060048 A110699 * A285407 A292802 A247376

Adjacent sequences:  A035534 A035535 A035536 * A035538 A035539 A035540

KEYWORD

nonn

AUTHOR

Olivier Gérard

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 5 20:54 EST 2019. Contains 329779 sequences. (Running on oeis4.)