The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A325181 Number of integer partitions of n such that the difference between the length of the minimal square containing and the maximal square contained in the Young diagram is 1. 6
 0, 0, 2, 1, 0, 2, 3, 2, 1, 0, 2, 3, 4, 3, 2, 1, 0, 2, 3, 4, 5, 4, 3, 2, 1, 0, 2, 3, 4, 5, 6, 5, 4, 3, 2, 1, 0, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1, 0, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 2, 3, 4, 5, 6 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The maximal square contained in the Young diagram of an integer partition is called its Durfee square, and its length is the rank of the partition. LINKS Giovanni Resta, Table of n, a(n) for n = 0..150 EXAMPLE The a(2) = 2 through a(15) = 1 partitions: (2)  (21) (32)  (33)  (322) (332) (433)  (443)  (444)  (4333) (4433) (4443) (11)      (221) (222) (331)       (3331) (3332) (3333) (4432) (4442)                 (321)                    (4331) (4332) (4441)                                                 (4431) MATHEMATICA durf[ptn_]:=Length[Select[Range[Length[ptn]], ptn[[#]]>=#&]]; codurf[ptn_]:=Max[Length[ptn], Max[ptn]]; Table[Length[Select[IntegerPartitions[n], codurf[#]-durf[#]==1&]], {n, 0, 30}] CROSSREFS Cf. A006918, A084835, A096771, A257990, A263297, A325178, A325179, A325182, A325191, A325192, A325198. Sequence in context: A055288 A203995 A111374 * A072739 A328699 A030399 Adjacent sequences:  A325178 A325179 A325180 * A325182 A325183 A325184 KEYWORD nonn,look AUTHOR Gus Wiseman, Apr 08 2019 EXTENSIONS More terms from Giovanni Resta, Apr 15 2019 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.

Last modified November 28 20:57 EST 2020. Contains 338755 sequences. (Running on oeis4.)