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A067627 Triangle T(n,k) = number of conjugacy classes of partitions of n using only k types of piles, read by rows. 0
1, 1, 1, 1, 1, 2, 3, 1, 1, 3, 2, 1, 6, 1, 3, 7, 2, 5, 9, 2, 1, 8, 11, 2, 1, 13, 14, 1, 3, 19, 15, 3, 5, 27, 19, 1, 11, 34, 22, 2, 1, 15, 49, 23, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Lengths of rows are 1 1 2 2 2 3 3 3 3 4 4 4 4 4 ... (A003056).

LINKS

Table of n, a(n) for n=1..45.

EXAMPLE

Triangle turned on its side begins:

1.1.1.2.1.2.1.2.2..2..1..3..1..2..2....etc

....1.1.3.3.6.7.9.11.14.15.19.22.23....etc

..........1.1.3.5..8.13.19.27.34.49....etc

...................1..1..3..5.11.15....etc

CROSSREFS

Cf. A000700, A000701, A046682, A060177. Diagonals give A038548. row sums give A046682.

Sequence in context: A271566 A296659 A270823 * A077233 A282290 A178795

Adjacent sequences:  A067624 A067625 A067626 * A067628 A067629 A067630

KEYWORD

easy,more,nonn,tabf

AUTHOR

Naohiro Nomoto, Feb 02 2002

STATUS

approved

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Last modified November 15 15:59 EST 2018. Contains 317239 sequences. (Running on oeis4.)