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

1,3

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.

Links

Table of n, a(n) for n=1..32.

Example

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

Crossrefs

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

Sequence in context: A061850 A061459 A061869 * A070254 A061090 A061272

Adjacent sequences: A061267 A061268 A061269 * A061271 A061272 A061273

Keyword

nonn,base

Author

Amarnath Murthy, Apr 24 2001

Extensions

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

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

Status

approved