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A117803
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Triangular numbers for which the sum of the digits is a cube.
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1
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0, 1, 10, 5778, 5886, 6786, 7875, 17766, 17955, 27495, 29646, 31878, 36585, 38781, 43956, 46665, 46971, 49455, 49770, 55278, 58653, 61776, 64980, 68265, 74691, 75078, 78606, 85491, 85905, 89253, 93096, 93528, 97461, 109278, 109746, 117855
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OFFSET
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1,3
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LINKS
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EXAMPLE
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5778 is in the sequence because (1) it is a triangular number and (2) the sum of its digits 5+7+7+8=27 is a cube.
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MATHEMATICA
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Select[Accumulate[Range[500]], IntegerQ[Power[Total[IntegerDigits[#]], (3)^-1]]&] (* Harvey P. Dale, Dec 19 2010 *)
Select[Accumulate[Range[0, 500]], IntegerQ[Surd[Total[IntegerDigits[#]], 3]]&] (* Harvey P. Dale, Jan 08 2023 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), Apr 29 2006
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EXTENSIONS
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STATUS
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approved
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