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A061268 Numbers n such that n^2 has property that the sum of its digits and the product of its digits are nonzero squares. 5
1, 2, 3, 12, 21, 122, 212, 221, 364, 463, 518, 537, 543, 589, 661, 715, 786, 969, 1111, 1156, 1354, 1525, 1535, 1608, 1617, 1667, 1692, 1823, 1941, 2166, 2235, 2337, 2379, 2515, 2943, 2963, 3371, 3438, 3631, 3828, 4018, 4077, 4119, 4271, 4338, 4341, 4471 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

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..47.

EXAMPLE

212^2 = 44944, 4+4+9+4+4 = 25 = 5^2 and 4*4*9*4*4 = 2304 = 48^2.

CROSSREFS

Cf. A053057, A053059, A061267. Sequence A061868 allows digit products = 0.

Sequence in context: A018883 A066730 A077755 * A122604 A282234 A024780

Adjacent sequences:  A061265 A061266 A061267 * A061269 A061270 A061271

KEYWORD

nonn,base

AUTHOR

Amarnath Murthy, Apr 24 2001

EXTENSIONS

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

STATUS

approved

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Last modified May 28 17:57 EDT 2017. Contains 287241 sequences.