A060768 Pseudo-Kaprekar triples: q such that if q=x+y+z, then q^3=x*10^i + y*10^j + z, where (y*10^j+z < 10^i) and z < 10^j.

1, 8, 10, 45, 100, 134, 297, 783, 972, 1000, 1368, 1611, 2322, 2710, 2728, 3086, 4445, 4544, 4949, 5049, 5455, 5554, 7172, 10000, 19908, 21268, 27100, 44443, 55556, 60434, 76581, 77778, 100000, 103239, 133334, 143857, 199728, 208494, 226071

Offset: 1

Author

Larry Reeves (larryr(AT)acm.org), Apr 24 2001

Keywords

• nonn
• base

Comments

True Kaprekar triples (A006887) must have j=n and i=2n, where n is the number of digits in q.

Examples

			134^3=2406104 and 134=24+06+104. 134 is not a Kaprekar triple since the three terms of the sum would need to be 2, 406 and 104. 134 is not a term of A328198 because one addend (06) begins with '0'.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..280

Crossrefs

Cf. A006887, A328198.

Extensions

Offset changed to 1 by Giovanni Resta, Oct 09 2019