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A368869 Number of partitions of n into prime parts not greater than sqrt(n). 0
1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 5, 15, 16, 17, 18, 19, 21, 21, 23, 24, 25, 27, 28, 29, 31, 32, 34, 35, 37, 38, 40, 42, 43, 45, 47, 150, 158, 166, 175, 183, 193, 202, 212, 222, 232, 243, 254, 265, 277, 289, 301, 314, 327, 340, 354, 368, 383 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,10
LINKS
MAPLE
b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
b(n, i-1)+`if`(isprime(i), b(n-i, min(n-i, i)), 0)))
end:
a:= n-> b(n, floor(sqrt(n))):
seq(a(n), n=0..70); # Alois P. Heinz, Jan 13 2024
MATHEMATICA
Table[SeriesCoefficient[Product[1/(1 - Boole[PrimeQ[k]] x^k), {k, 1, Floor[Sqrt[n]]}], {x, 0, n}], {n, 0, 70}]
CROSSREFS
Sequence in context: A263799 A299230 A182576 * A128330 A133801 A181630
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 08 2024
STATUS
approved

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Last modified April 14 13:30 EDT 2024. Contains 371661 sequences. (Running on oeis4.)