A098839 Smith square numbers.
4, 121, 576, 729, 6084, 10201, 17424, 18496, 36481, 51529, 100489, 124609, 184041, 195364, 410881, 559504, 674041, 695556, 732736, 887364, 896809, 966289, 988036, 1038361, 1190281, 1238769, 1726596, 1852321, 2166784, 2975625, 3407716, 3613801, 3663396
Offset: 1
Examples
a(2) = 121 because 121 is a Smith number as well as a square.
Links
- Donovan Johnson, Table of n, a(n) for n = 1..10000
- Shyam Sunder Gupta, Smith Numbers, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 4, 127-157.
Crossrefs
Cf. A006753.
Programs
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Mathematica
d[n_]:=IntegerDigits[n]; tr[n_]:=Transpose[FactorInteger[n]]; t={}; Do[If[!PrimeQ[n]&&Total[d[n]]==Total[d@tr[n][[1]]*tr[n][[2]],2],AppendTo[t,n]],{n,Range[2,1950]^2}]; t (* Jayanta Basu, Jun 04 2013 *)