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A317537 The n-th positive integer that has exactly n representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes. 1

%I #8 Jul 30 2018 19:29:10

%S 1,29,91,426,1002,2283,3979,5886,10861,17116,20749,35106,44031,60919,

%T 67453,108655,142429,197107,232625,303317,352093,432517,542935,642520,

%U 839938,988791,1050505,1208559,1612876,1753324,2129203,2391496,2735890,3141916,3593278

%N The n-th positive integer that has exactly n representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes.

%F a(n) = A317390(n,n).

%e a(1) = 1: 1.

%e a(2) = 29: 1 + 2 * (1 + 13) = 1 + 7 * (1 + 3) = 29.

%e a(3) = 91: 1 + 2 * (1 + 11 * (1 + 3)) = 1 + 3 * (1 + 29) = 1 + 5 * (1 + 17) = 91.

%Y A diagonal of A317390.

%Y Cf. A317385.

%K nonn

%O 1,2

%A _Alois P. Heinz_, Jul 30 2018

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Last modified July 13 17:17 EDT 2024. Contains 374284 sequences. (Running on oeis4.)