A352734 Records of the total number of parts in all partitions of a positive integer into consecutive parts.

1, 3, 4, 6, 11, 12, 13, 15, 26, 28, 34, 48, 51, 53, 60, 67, 69, 72, 111, 132, 139, 160, 163, 245, 257, 269, 291, 338, 375, 406, 477, 660, 707, 717, 775, 780, 800, 851, 872, 887, 930, 933, 984, 1023, 1406, 1492, 1644, 1664, 1984, 2128, 2211, 2358, 2391, 2444, 2796, 3015, 4020, 4410, 4510, 4735, 4793, 4976, 5161, 5232, 5312, 5454, 5784

Offset

1,2

Links

Table of n, a(n) for n=1..67.

Formula

a(n) = A204217(A352733(n)).

Crossrefs

Records in A204217.

Cf. A001227, A237048, A299765, A286000, A352733.

Sequence in context: A092839 A185874 A320688 * A275418 A047413 A331191

Adjacent sequences: A352731 A352732 A352733 * A352735 A352736 A352737

Keyword

nonn

Author

Omar E. Pol, Mar 30 2022

Extensions

More terms from Max Alekseyev, Oct 12 2023

Status

approved