A061272 Squares such that (1) each digit is a square, (2) the sum of squares of the digits is a square.

0, 1, 4, 9, 100, 400, 900, 1444, 10000, 40000, 90000, 144400, 1000000, 4000000, 9000000, 14440000, 94109401

Offset

1,3

References

Amarnath Murthy, Smarandache Pythagoras Additive Square Sequence. (To be published in Smarandache Notions Journal).

Links

Table of n, a(n) for n=1..17.

Example

1444 = 38^2, each digit is a square, Sum of the squares of digits = 1+16+16+16 = 49 = 7^2.

Mathematica

okQ[n_]:=Module[{fd=FromDigits[n]}, IntegerQ[Sqrt[fd]]&&IntegerQ[ Sqrt[ Total[n^2]]]]; FromDigits/@Select[Tuples[{0, 1, 4, 9}, 8], okQ] (* Harvey P. Dale, May 12 2011 *)

Crossrefs

Cf. A053057, A053059, A061267, A061268, A061269, A061270, A061090.

Sequence in context: A061270 A070254 A061090 * A117680 A042649 A324024

Adjacent sequences: A061269 A061270 A061271 * A061273 A061274 A061275

Keyword

nonn,base

Author

Amarnath Murthy, Apr 24 2001

Extensions

Corrected and extended by Harvey P. Dale, May 12 2011.

Status

approved