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%I #20 Mar 28 2021 01:11:47
%S 13,44,132,368,976,2496,6208,15104,36096,84992,197632,454656,1036288,
%T 2342912,5259264,11730944,26017792,57409536,126091264,275775488,
%U 600834048,1304428544,2822766592,6090129408,13103005696,28118614016,60196651008
%N Ordered factorizations over hook-type prime signatures with exactly three distinct primes (third column of A098348).
%C a(n) can also be calculated by transforming (3,18,8) applying the binomial transform twice. Cf. A098384.
%H James Rayman, <a href="/A098385/b098385.txt">Table of n, a(n) for n = 0..2000</a>
%F a(n) = 2^n * (n^2 + 8*n + 13). - _James Rayman_, Mar 27 2021
%e The hook-type least prime signatures with exactly three primes begin 30,60,120,...; therefore sequence begins A002033(30,60,120,...) = 13,44,132,...
%o (Python) def a(n): return 2**n * (n**2 + 8*n + 13) # _James Rayman_, Mar 27 2021
%Y Cf. A002033, A098348, A098384.
%K easy,nonn
%O 0,1
%A _Alford Arnold_, Sep 06 2004
%E More terms from _James Rayman_, Mar 27 2021
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