A327482 - OEIS

A327482

Irregular triangle read by rows where T(n,d) is the number of integer partitions of n with mean d|n.

1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 3, 1, 1, 1, 1, 5, 4, 1, 1, 7, 1, 1, 7, 5, 1, 1, 1, 1, 11, 15, 12, 6, 1, 1, 1, 1, 15, 7, 1, 1, 30, 19, 1, 1, 22, 34, 8, 1, 1, 1, 1, 30, 58, 27, 9, 1, 1, 1, 1, 42, 84, 64, 10, 1, 1, 105, 37, 1, 1, 56, 11, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,7

LINKS

Table of n, a(n) for n=1..74.

EXAMPLE

Triangle begins:

1 1

1 2 1

1 1

1 3 3 1

1 1

1 5 4 1

1 7 1

1 7 5 1

1 1

1 11 15 12 6 1

1 1

1 15 7 1

1 30 19 1

1 22 34 8 1

MATHEMATICA

Table[Length[Select[IntegerPartitions[n], Mean[#]==d&]], {n, 20}, {d, Divisors[n]}]

CROSSREFS

Row sums are A067538.

The version for subsets is A327481.

Cf. A066571, A237984, A240850, A327474, A327483, A327484.

Sequence in context: A296554 A373717 A377007 * A189006 A245013 A219924

Adjacent sequences: A327479 A327480 A327481 * A327483 A327484 A327485

KEYWORD

nonn,tabf

AUTHOR

Gus Wiseman, Sep 13 2019

STATUS

approved