A270304 Numbers that equal the sum of the squares of the digits of their own square in base 15.

0, 1, 159, 264, 284, 306, 387

Offset

1,3

Comments

In base 14: 0, 1 only.

There are no further terms below 400000. - Harvey P. Dale, Sep 02 2021

This list is complete. Consider n, a 4 digit number in base 15. Clearly, n>=15^3=3375. Also, n^2 has no more than 8 digits base 15, and no digit is larger than 14, so the sum of the squares of the digits of n^2 is <= 2*4*14^2=1568, allowing no solutions. As n increases exponentially in the number of digits and the sum increases linearly, there are no solutions greater than 3375. - Gus Michel, Oct 04 2024

Links

Table of n, a(n) for n=1..7.

Mathematica

Select[Range[0, 400], Total[IntegerDigits[#^2, 15]^2]==#&] (* Harvey P. Dale, Sep 01 2021 *)

Crossrefs

Cf. A270295, A270340, A270341.

Sequence in context: A280967 A192173 A093472 * A281665 A329535 A250659

Adjacent sequences: A270301 A270302 A270303 * A270305 A270306 A270307

Keyword

nonn,fini,full,base

Author

Daniel Mondot, Mar 14 2016

Status

approved