A113317 Exclusionary biquadrates (fourth powers).

16, 81, 256, 2401, 4096, 6561, 331776, 531441, 614656, 1048576, 3111696, 7311616, 7890481, 11316496, 12117361, 21051121, 62742241, 74805201, 1698181681, 4430766096, 6505390336, 11019960576, 11716114081, 479174066176, 505022001201, 51050010415041

Offset: 1

Author

Lekraj Beedassy, Oct 26 2005

Keywords

• base
• nonn
• fini

Comments

An exclusionary biquadrate m^4 is one sharing no digit in common with its root m made up of distinct digits.

Examples

			331776 = 24^4 is in the sequence as 331776 and 24 have no digits in common and 24 has distinct digits. - _David A. Corneth_, May 12 2025
		

References

• Shyam Sunder Gupta, "Exploring the Beauty of Fascinating Numbers", Springer, pp. 43-44.
• H. Ibstedt, Solution to Problem 2623, "Exclusionary Powers", pp. 346-9, Journal of Recreational Mathematics, vol. 32 No.4 2003-4 Baywood NY.

Links

• Patrick De Geest, Reference table for squares, cubes and biquadrates

Crossrefs

Subsequence of A000583. Subsequence of A113316.

Roots are given by A113318.

Formula

a(n) = A113318(n)^4.

Extensions

Corrected by Don Reble, Nov 22 2006

a(25)-a(26) added by Patrick De Geest, May 12 2025