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A061272
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Squares such that (1) each digit is a square, (2) the sum of squares of the digits is a square.
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0
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0, 1, 4, 9, 100, 400, 900, 1444, 10000, 40000, 90000, 144400, 1000000, 4000000, 9000000, 14440000, 94109401
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| M. L. Perez et al., eds., Smarandache Notions Journal
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FORMULA
| Amarnath Murthy, Smarandache Pythagoras Additive Square Sequence. (To be published in Smarandache Notions Journal).
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EXAMPLE
| 1444 = 38^2, each digit is a square, Sum of the squares of digits = 1+16+16+16 = 49 = 7^2.
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MATHEMATICA
| okQ[n_]:=Module[{fd=FromDigits[n]}, IntegerQ[Sqrt[fd]]&&IntegerQ[ Sqrt[ Total[n^2]]]]; FromDigits/@Select[Tuples[{0, 1, 4, 9}, 8], okQ] (* From Harvey P. Dale, May 12 2011 *)
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CROSSREFS
| Cf. A053057, A053059, A061267, A061268, A061269, A061270, A061090.
Sequence in context: A061270 A070254 A061090 * A117680 A042649 A042381
Adjacent sequences: A061269 A061270 A061271 * A061273 A061274 A061275
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KEYWORD
| nonn,base
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 24 2001
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EXTENSIONS
| Corrected and extended by Harvey P. Dale, May 12 2011.
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