A210955 Triangle read by rows: T(n,k) = total number of parts <= k in the last section of the set of partitions of n.

1, 1, 2, 2, 2, 3, 3, 5, 5, 6, 5, 6, 7, 7, 8, 7, 11, 13, 14, 14, 15, 11, 14, 16, 17, 18, 18, 19, 15, 23, 26, 29, 30, 31, 31, 32, 22, 29, 35, 37, 39, 40, 41, 41, 42, 30, 45, 51, 56, 59, 61, 62, 63, 63, 64, 42, 57, 67, 72, 76, 78, 80, 81, 82, 82, 83

Offset

1,3

Comments

Row n lists the partial sums of row n of triangle A182703.

Links

Table of n, a(n) for n=1..66.

Formula

T(n,k) = Sum_{j=1..k} A182703(n,j).

Example

1,
1,   2,
2,   2,  3,
3,   5,  5,  6,
5,   6,  7,  7,  8,
7,  11, 13, 14, 14, 15,
11, 14, 16, 17, 18, 18, 19,
15, 23, 26, 29, 30, 31, 31, 32,
22, 29, 35, 37, 39, 40, 41, 41, 42;

Crossrefs

Column 1 is A000041. Right border gives A138137.

Cf. A135010, A138121, A182703, A206437, A206562, A207031, A207032, A207383, A208476, A210947, A210956.

Sequence in context: A228571 A224908 A029097 * A051697 A240869 A367395

Adjacent sequences: A210952 A210953 A210954 * A210956 A210957 A210958

Keyword

nonn,tabl

Author

Omar E. Pol, May 01 2012

Extensions

More terms from Alois P. Heinz, May 25 2013

Status

approved