A092298 Number of partitions of the n-th prime into integers <= n.

1, 2, 5, 11, 37, 71, 201, 352, 887, 3015, 4802, 14552, 30366, 45326, 90316, 234343, 582691, 819205, 1938560, 3449498, 4698053, 10457616, 17852459, 38120211, 99889551, 163116820, 211767528, 340543921, 437493270, 693911423

Offset

1,2

Comments

a(n) < A058698(n).

Links

Table of n, a(n) for n=1..30.

Example

n=4: A000040(4)=7 has A000041(7)=15 partitions, four of them with integers greater than 4: 5+2, 5+1+1, 6+1 and 7, therefore a(4)=15-4=11.

Crossrefs

Cf. A000040, A000041.

Sequence in context: A156014 A268397 A261438 * A074497 A131581 A195985

Adjacent sequences: A092295 A092296 A092297 * A092299 A092300 A092301

Keyword

nonn

Author

Reinhard Zumkeller, Feb 07 2004

Status

approved