A371004 Fourth powers whose digital sum is also a fourth power.

0, 1, 10000, 14641, 100000000, 104060401, 146410000, 1000000000000, 1004006004001, 1040604010000, 1464100000000, 4228599998736, 8670998958336, 9748688599521, 9948826238976, 12598637895936, 19226786746896, 19896452775936, 20699669996721, 23768199069696, 26599197668481

Offset: 1

Author

Stefano Spezia, Mar 08 2024

Keywords

• nonn
• base
• easy

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

• Stefano Spezia, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000583, A007953, A038444, A053057, A053058, A371047.

Programs

Mathematica

Select[Range[0,2500]^4, IntegerQ[DigitSum[#]^(1/4)]&]

Formula

a(n) = A371047(n)^4.