OFFSET
0,3
EXAMPLE
For n = 6 the partitions of 6 that do not contain odd primes as parts are [6], [4, 2], [2, 2, 2], [4, 1, 1], [2, 2, 1, 1], [2, 1, 1, 1, 1] and [1, 1, 1, 1, 1, 1]. There are seven of these partitions so a(6) = 7.
PROG
(PARI) a(n) = my(nb=0); forpart(p=n, if (#select(x->((x>2) && isprime(x)), Vec(p)) == 0, nb++); ); nb; \\ Michel Marcus, Jun 24 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Jun 23 2022
STATUS
approved