A206562 Triangle read by rows: T(n,k) = sum of all parts >= k in the last section of the set of partitions of n.

1, 3, 2, 5, 3, 3, 11, 8, 4, 4, 15, 10, 8, 5, 5, 31, 24, 16, 10, 6, 6, 39, 28, 22, 16, 12, 7, 7, 71, 56, 40, 31, 19, 14, 8, 8, 94, 72, 58, 40, 32, 22, 16, 9, 9, 150, 120, 90, 72, 52, 37, 25, 18, 10, 10, 196, 154, 124, 94, 74, 54, 42, 28, 20, 11, 11

Offset

1,2

Links

Alois P. Heinz, Rows n = 1..141, flattened

Example

Triangle begins:
1;
3,   2;
5,   3,  3;
11,  8,  4,  4;
15, 10,  8,  5,  5;
31, 24, 16, 10,  6,  6;
39, 28, 22, 16, 12,  7,  7;
71, 56, 40, 31, 19, 14,  8,  8;
94, 72, 58, 40, 32, 22, 16,  9,  9;

Crossrefs

Columns 1-2 give A138879, A138880. Diagonal is A000027.

Cf. A135010, A138121, A182703, A206561, A207031, A207032.

Sequence in context: A333363 A130299 A143309 * A155981 A057958 A225411

Adjacent sequences: A206559 A206560 A206561 * A206563 A206564 A206565

Keyword

nonn,tabl

Author

Omar E. Pol, Feb 15 2012

Status

approved