A068897 Squares containing 2k digits in which the sum of the first k digits = that of the rest.

5041, 108900, 122500, 128164, 137641, 155236, 173056, 185761, 203401, 206116, 216225, 287296, 288369, 302500, 324900, 342225, 368449, 423801, 434281, 459684, 485809, 515524, 531441, 540225, 675684, 698896, 720801, 737881, 749956, 779689

Offset: 1

Author

Amarnath Murthy, Mar 21 2002

Keywords

• easy
• nonn
• base

Examples

			5041 is a member with 5+0 = 4+1.
		

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..10000

Crossrefs

Intersection of A000290 and A240927.

Cf. A068896, A068898.

Programs

PARI

isok(n)={my(d=digits(n)); my(k=#d); k%2==0 && vecsum(d[1..k/2]) == vecsum(d[k/2+1..k])}
lista(n)={my(L=List(), k=0); while(#LAndrew Howroyd, Sep 19 2024

Extensions

Corrected and extended by Harvey P. Dale, Mar 31 2002

Offset changed by Andrew Howroyd, Sep 19 2024