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A372510 Number of ordered factorizations of 2*n-1 into twin primes.

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%I A372510 #4 May 04 2024 14:59:55
%S A372510 1,1,1,1,1,1,1,2,1,1,2,0,1,1,1,1,2,2,0,2,1,1,3,0,1,2,0,2,2,1,1,3,2,0,
%T A372510 0,1,1,3,2,0,1,0,2,2,0,2,2,2,0,3,1,1,6,1,1,0,0,0,3,2,1,2,1,0,2,0,2,4,
%U A372510 1,1,0,2,2,3,1,1,3,2,0,0,0,0,6,0,1,3,0,3,2,1
%N A372510 Number of ordered factorizations of 2*n-1 into twin primes.
%F A372510 If 2*n-1 = Product A001097(k)^e(k) then a(n) = A008480(2*n-1), otherwise 0.
%e A372510 a(23) = 3 because we have 23 * 2 - 1 = 45 = 3 * 3 * 5 = 3 * 5 * 3 = 5 * 3 * 3.
%Y A372510 Cf. A001097, A008480, A050328, A050363, A062505, A077608, A164292.
%K A372510 nonn
%O A372510 1,8
%A A372510 _Ilya Gutkovskiy_, May 04 2024