A325338 Number of partitions of n with odd minimal and maximal parts.

1, 1, 2, 2, 3, 5, 6, 9, 12, 18, 22, 33, 40, 57, 72, 98, 121, 164, 202, 267, 330, 427, 526, 674, 826, 1043, 1277, 1598, 1945, 2414, 2929, 3605, 4359, 5327, 6419, 7801, 9361, 11311, 13533, 16274, 19399, 23223, 27597, 32899, 38977, 46284, 54673, 64701, 76206

Offset

1,3

Comments

The four sequences A325338, A325344, A325345, A325346 partition the partition numbers, A000041.

Links

Table of n, a(n) for n=1..49.

Example

a(6) counts these 5 partitions:  [5,1], [3,3], [3,1], [3,1,1,1], [1,1,1,1,1].

Mathematica

Table[Count[IntegerPartitions[n], q_ /; OddQ[Min[q]] && OddQ[Max[q]]], {n, 30}]

Crossrefs

Cf. A000041, A325344, A325345, A325346.

Sequence in context: A352524 A172993 A335755 * A143438 A004037 A291296

Adjacent sequences: A325335 A325336 A325337 * A325339 A325340 A325341

Keyword

nonn,easy

Author

Clark Kimberling, Apr 23 2019

Status

approved