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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 nonnegative integer in exactly n ways.
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%I #9 Sep 14 2023 01:04:15

%S 1,2,3,83,1298,4259,11087,22637,65579,102044,181838,234527,467627,

%T 754652,991889,1431113,1875902,2271407,4102958,4851593,8458148,

%U 6826874,10715858,15453983,18805058,23502134,27671573,34425893,34967159,47158793,54659384,78188129,67269347

%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 nonnegative integer in exactly n ways.

%e For n = 3: 83 = 2 + 3^4 = 67 + 2^4 = 83 + 0^4.

%Y Cf. A000040, A000583, A365126, A365288, A365289, A365292.

%K nonn

%O 0,2

%A _Ilya Gutkovskiy_, Aug 31 2023

%E More terms from _Jinyuan Wang_, Sep 13 2023