A352733 Least number k such that the total number of parts in all partitions of k into consecutive parts is a record.

1, 3, 6, 9, 15, 21, 30, 35, 45, 63, 90, 105, 135, 165, 189, 210, 225, 297, 315, 495, 525, 630, 825, 945, 1155, 1365, 1485, 1575, 2205, 2475, 2835, 3465, 4095, 4725, 5355, 5775, 5985, 6435, 6930, 8085, 8190, 8775, 9009, 9450, 10395, 12285, 15015, 16065, 17325, 20475

Offset

1,2

Links

Table of n, a(n) for n=1..50.

Crossrefs

Where records occur in A204217.

Cf. A001227, A237048, A286000, A299765, A352734.

Sequence in context: A337502 A082004 A364017 * A112773 A363615 A357989

Adjacent sequences: A352730 A352731 A352732 * A352734 A352735 A352736

Keyword

nonn

Author

Omar E. Pol, Mar 30 2022

Extensions

More terms from Amiram Eldar, Apr 01 2022

Status

approved