cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A379098 The waterproof hulls of numbers that are not waterproof (A379097).

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%I A379098 #8 Dec 20 2024 12:44:44
%S A379098 180,252,360,396,468,504,612,684,720,792,828,1400,900,936,1575,1008,
%T A379098 1044,1116,1224,6300,2200,1332,1368,1440,1476,2475,1548,2600,4752,
%U A379098 1656,2800,1692,2925,1764,1800,4312,5616,3150,1908,9900,2016,3400,4851,2088,2124,5096
%N A379098 The waterproof hulls of numbers that are not waterproof (A379097).
%C A379098 The waterproof hull h(k) of k is the smallest waterproof number that k divides. Zero and one are waterproof numbers by convention. Numbers that admit a prime factorization are waterproof if their water capacity is 0. (The water capacity of a number is defined in A275339.)
%o A379098 (Python)
%o A379098 # Using function "WaterCapacity" from A275339.
%o A379098 def s(n: int) -> int:
%o A379098     j = n
%o A379098     while True:
%o A379098         if WaterCapacity(j) == 0 and j % n == 0: return j
%o A379098         j += n
%o A379098 print([s(n) for n in range(1, 700) if WaterCapacity(n) > 0])
%Y A379098 Cf. A275339, A379095, A379096, A379097.
%K A379098 nonn
%O A379098 1,1
%A A379098 _Peter Luschny_, Dec 16 2024