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A341483
Number of ways to write n as an ordered sum of 6 nonprime numbers.
8
1, 0, 0, 6, 0, 6, 15, 6, 36, 26, 45, 96, 75, 156, 201, 242, 375, 456, 586, 816, 987, 1256, 1656, 1962, 2512, 3102, 3717, 4616, 5577, 6612, 8067, 9516, 11283, 13372, 15678, 18378, 21412, 24966, 28719, 33388, 38244, 43872, 50248, 57288, 64914, 74074, 83328, 94248
OFFSET
6,4
MAPLE
b:= proc(n, t) option remember;
`if`(n=0, `if`(t=0, 1, 0), `if`(t<1, 0, add(
`if`(isprime(j), 0, b(n-j, t-1)), j=1..n)))
end:
a:= n-> b(n, 6):
seq(a(n), n=6..53); # Alois P. Heinz, Feb 13 2021
MATHEMATICA
nmax = 53; CoefficientList[Series[Sum[Boole[!PrimeQ[k]] x^k, {k, 1, nmax}]^6, {x, 0, nmax}], x] // Drop[#, 6] &
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Feb 13 2021
STATUS
approved