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A371004
Fourth powers whose digital sum is also a fourth power.
2
0, 1, 10000, 14641, 100000000, 104060401, 146410000, 1000000000000, 1004006004001, 1040604010000, 1464100000000, 4228599998736, 8670998958336, 9748688599521, 9948826238976, 12598637895936, 19226786746896, 19896452775936, 20699669996721, 23768199069696, 26599197668481
OFFSET
1,3
COMMENTS
Among the terms of this sequence, there are:
the numbers of the form 10^(4*k) with k >= 0;
the numbers of the form (10^i + 10^j)^4 with i > j >= 0.
LINKS
FORMULA
a(n) = A371047(n)^4.
MATHEMATICA
Select[Range[0, 2500]^4, IntegerQ[DigitSum[#]^(1/4)]&]
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Stefano Spezia, Mar 08 2024
STATUS
approved