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Search: id:A061268
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| A061268 |
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Numbers n such that n^2 has property that the sum of its digits and the product of its digits are nonzero squares. |
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+0
6
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| 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; listen)
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OFFSET
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1,2
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REFERENCES
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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
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LINKS
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M. L. Perez et al., eds., Smarandache Notions Journal
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EXAMPLE
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212^2 = 44944, 4+4+9+4+4 = 25 = 5^2 and 4*4*9*4*4 = 2304 = 48^2.
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CROSSREFS
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Cf. A053057, A053059, A061267. Sequence A061868 allows digit products = 0.
Sequence in context: A077755 A018883 A066730 this_sequence A122604 A024780 A107928
Adjacent sequences: A061265 A061266 A061267 this_sequence A061269 A061270 A061271
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KEYWORD
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nonn,base
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 24 2001
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), May 11 2001
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