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a(n) is the least positive integer that can be expressed as the sum of a prime number and a fourth power of a positive integer in exactly n ways.
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%I #11 Sep 14 2023 01:04:38

%S 1,3,18,644,1298,6662,14948,29102,77579,102044,181838,367022,545828,

%T 754652,1095254,1985807,1875902,2672339,4102958,4851593,7444799,

%U 6826874,10715858,16398674,18805058,23502134,31500614,34967159,41824499,47158793,54659384,67269347,83885588

%N a(n) is the least positive integer that can be expressed as the sum of a prime number and a fourth power of a positive integer in exactly n ways.

%e For n = 3: 644 = 19 + 5^4 = 563 + 3^4 = 643 + 1^4.

%Y Cf. A000040, A000583, A064283, A365167, A365290, A365291.

%K nonn

%O 0,2

%A _Ilya Gutkovskiy_, Aug 31 2023

%E More terms from _Jinyuan Wang_, Sep 13 2023