A117395 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A117395

Number of partitions of n into parts that are neither all squarefree, nor all not squarefree.

2

0, 0, 0, 0, 1, 2, 3, 4, 8, 14, 20, 27, 40, 59, 80, 106, 145, 198, 262, 340, 447, 584, 751, 956, 1221, 1555, 1959, 2454, 3073, 3839, 4760, 5875, 7245, 8912, 10909, 13303, 16206, 19696, 23848, 28788, 34704, 41755, 50085

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

OFFSET

1,6

COMMENTS

a(n) = A000041(n) - A073576(n) - A114374(n).

LINKS

Table of n, a(n) for n=1..43.

EXAMPLE

a(8) = #{2^2+3+1,2^2+2+2,2^2+2+1+1,2^2+1+1+1+1} = 4.

CROSSREFS

Cf. A005117, A013929.

Sequence in context: A266400 A274914 A100993 * A006755 A347754 A005853

Adjacent sequences: A117392 A117393 A117394 * A117396 A117397 A117398

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Mar 11 2006

STATUS

approved