

A238237


Numbers which when chopped into two parts with equal length, added and squared result in the same number.


3



81, 2025, 3025, 9801, 494209, 998001, 24502500, 25502500, 52881984, 60481729, 99980001, 6049417284, 6832014336, 9048004641, 9999800001, 101558217124, 108878221089, 123448227904, 127194229449, 152344237969, 213018248521, 217930248900, 249500250000, 250500250000
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OFFSET

1,1


COMMENTS

Yet another variant of the Kaprekar numbers A006886.  N. J. A. Sloane, Aug 06 2017


LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..25000


EXAMPLE

2025 = (20 + 25)^2, so 2025 is in the sequence.


PROG

(PARI) forstep(m=1, 7, 2, p=10^((m+1)/2); for(n=10^m, 10^(m+1)1, d=lift(Mod(n, p)); if(((nd)/p+d)^2==n, print1(n, ", "))));


CROSSREFS

Subsequence of A102766.
Cf. A006886.
For square roots see A290449.
Sequence in context: A253448 A205978 A037211 * A282861 A237376 A296577
Adjacent sequences: A238234 A238235 A238236 * A238238 A238239 A238240


KEYWORD

nonn,base


AUTHOR

Arkadiusz Wesolowski, Feb 20 2014


EXTENSIONS

a(12)a(24) from Donovan Johnson, Feb 22 2014


STATUS

approved



