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A341485
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Number of ways to write n as an ordered sum of 8 nonprime numbers.
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7
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1, 0, 0, 8, 0, 8, 28, 8, 64, 64, 84, 232, 182, 400, 596, 680, 1232, 1520, 2128, 3144, 3970, 5504, 7532, 9584, 12945, 16920, 21464, 28288, 35778, 45264, 57856, 72024, 90036, 112456, 138140, 170600, 208874, 254192, 309088, 373584, 449731, 539408, 645584, 767776
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OFFSET
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8,4
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LINKS
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Table of n, a(n) for n=8..51.
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MAPLE
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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, 8):
seq(a(n), n=8..51); # Alois P. Heinz, Feb 13 2021
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MATHEMATICA
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nmax = 51; CoefficientList[Series[Sum[Boole[!PrimeQ[k]] x^k, {k, 1, nmax}]^8, {x, 0, nmax}], x] // Drop[#, 8] &
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CROSSREFS
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Cf. A005171, A018252, A052284, A076608, A340964, A341455, A341467, A341480, A341481, A341482, A341483, A341484, A341486.
Sequence in context: A118540 A165110 A055959 * A076350 A197617 A005076
Adjacent sequences: A341482 A341483 A341484 * A341486 A341487 A341488
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KEYWORD
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nonn
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AUTHOR
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Ilya Gutkovskiy, Feb 13 2021
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STATUS
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approved
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