A061270 Squares such that each digit is a square and the sum of the digits is a square.

0, 1, 4, 9, 100, 144, 400, 441, 900, 10000, 10404, 14400, 40000, 40401, 44100, 44944, 90000, 1000000, 1004004, 1040400, 1440000, 4000000, 4004001, 4040100, 4410000, 4494400, 9000000, 9941409, 11909401, 100000000, 100040004, 100400400

Offset: 1

Author

Amarnath Murthy, Apr 24 2001

Keywords

• nonn
• base

Examples

			44944 = 212^2, each digit is a square, sum of digits = 4 + 4 + 9 + 4 + 4 = 25 = 5^2.
		

References

• Amarnath Murthy, Smarandache Additive square sequence is infinite. (To be published in Smarandache Notions Journal.)
• Amarnath Murthy, Infinitely many common members of the Smarandache Additive as well as multiplicative square sequence. (To be published in Smarandache Notions Journal.)
• Felice Russo, A set of new Smarandache functions, sequences and conjectures in number theory, American Research Press 2000.

Crossrefs

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

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), May 11 2001

a(1)=0 inserted by Sean A. Irvine, Jan 29 2023