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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A317588 Number of uniformly normal integer partitions of n. 6
 1, 1, 2, 3, 4, 3, 6, 3, 5, 6, 7, 5, 8, 5, 7, 10, 7, 6, 12, 7, 12, 14, 10, 11, 18, 11, 13, 16, 18, 15, 35, 16, 26, 24, 27, 26, 47, 33, 44, 48, 58, 48, 76, 63, 81, 79, 98, 94, 123, 109, 135, 131, 148, 140, 162, 149, 152, 162, 166, 175, 202, 191, 221, 232, 233 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS An integer partition is uniformly normal if either (1) it is of the form (x, x, ..., x) for some x > 0, or (2a) it spans an initial interval of positive integers, and (2b) its multiplicities, sorted in weakly decreasing order, are themselves a uniformly normal integer partition. LINKS A. David Christopher and M. Davamani Christober, Relatively Prime Uniform Partitions, Gen. Math. Notes, Vol. 13, No. 2, December, 2012, pp.1-12. EXAMPLE The a(6) = 6 uniformly normal integer partitions are (6), (33), (321), (222), (2211), (111111). Missing from this list are (51), (42), (411), (3111), (21111). The a(21) = 14 uniformly normal integer partitions (n = 21):   (n),   (777),   (654321),   (4443321), (3333333),   (44432211), (44333211), (44332221),   (4432221111), (4333221111), (4332222111),   (433322211),   (22222221111111),   (111111111111111111111). MATHEMATICA uninrmQ[q_]:=Or[q=={}||Length[Union[q]]==1, And[Union[q]==Range[Max[q]], uninrmQ[Sort[Length/@Split[q], Greater]]]]; Table[Length[Select[IntegerPartitions[n], uninrmQ]], {n, 0, 30}] CROSSREFS Cf. A181819, A182850, A275870, A317081, A317088, A317246, A317246, A317491, A317589, A317590. Sequence in context: A152920 A288778 A290139 * A080383 A086369 A337532 Adjacent sequences:  A317585 A317586 A317587 * A317589 A317590 A317591 KEYWORD nonn AUTHOR Gus Wiseman, Aug 01 2018 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 December 4 18:08 EST 2021. Contains 349526 sequences. (Running on oeis4.)