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A116450 Number of partitions of n such that the numbers of prime and composite parts differ at least by 1. 2
0, 1, 1, 2, 2, 3, 3, 6, 6, 11, 10, 18, 20, 30, 35, 49, 55, 77, 92, 120, 145, 184, 221, 283, 340, 423, 511, 627, 755, 928, 1112, 1348, 1611, 1942, 2314, 2787, 3303, 3948, 4673, 5564, 6562, 7794, 9158, 10821, 12689, 14946, 17484, 20540, 23949, 28036, 32631 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

a(n) = A002865(n) - A116449(n).

LINKS

Table of n, a(n) for n=1..51.

EXAMPLE

n=9: there are 8 partitions of 9 with parts > 1: 9, 7+2, 6+3,

5+4, 5+2+2, 4+3+2, 3+3+3 and 3+2+2+2; two of them have an equal number

of prime and composite parts: 3+2*3 and 5+2*2, therefore A116449(9)=2

and a(9)=8-2=6.

CROSSREFS

Sequence in context: A238786 A238547 A325681 * A054172 A236971 A121211

Adjacent sequences:  A116447 A116448 A116449 * A116451 A116452 A116453

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Feb 16 2006

STATUS

approved

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Last modified May 23 19:07 EDT 2019. Contains 323528 sequences. (Running on oeis4.)