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Antti Karttunen, <a href="/A353333/b353333.txt">Table of n, a(n) for n = 1..65537</a>
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Number of ways to write n as a product of the terms of A340784 larger than one1; a(1) = 1 by convention (an empty product).
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Number of ways to write n as a product of the terms of A340784 larger than one; a(1) = 1 by convention (an empty product).
Of the 11 eleven divisors of 220 larger than one, only [4, 10, 22, 55, 220] are in A340784, as both the number of their prime factors (with repetition, A001222), [2, 2, 2, 2, 4], and their integer pseudo logarithms (A056239), [2, 4, 6, 8, 10], are even. Using these factors gives the following possible factorizations: 220 = 10*22 = 4*10 = 55, *4, therefore a(220) = 3.
Of the 23 eight divisors of 792 256 larger than one, only [1, 4, 9, 22, 36, 88, 198, 79216, 64, 256] are in A340784. Using these factors gives , we obtain the following possible factorizations 792 : 256 = 64*4*198 = 916*88 16 = 2216*4*36 4 = 4*94*4*22, 4, therefore a(792256) = 5.
Of the 23 divisors of 792 larger than one, only [4, 9, 22, 36, 88, 198, 792] are in A340784. Using these factors gives the following possible factorizations: 792 = 198*4 = 88*9 = 36*22 = 22*4*9, therefore a(792) = 5.