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A117833 Triangular numbers for which the product of the digits is a cube. 1
0, 1, 10, 105, 120, 190, 210, 300, 406, 496, 630, 666, 703, 780, 820, 903, 946, 990, 1035, 1081, 1540, 1770, 1830, 2016, 2080, 2701, 2850, 2926, 3003, 3081, 3160, 3240, 3403, 3570, 4005, 4095, 4560, 4950, 5050, 5460, 6105, 6670, 6903, 7021, 7140, 7260 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Of the first 10,000 terms, only 139 do not contain a zero digit. - Harvey P. Dale, Apr 14 2016

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..10000

EXAMPLE

496 is in the sequence because (1) it is a triangular number and (2) the product of its digits 4*9*6=216 is a cube.

MATHEMATICA

Select[Accumulate[Range[0, 150]], IntegerQ[Surd[Times@@ IntegerDigits[ #], 3]]&] (* Harvey P. Dale, Apr 14 2016 *)

CROSSREFS

Cf. A000217.

Sequence in context: A163165 A110957 A077671 * A117832 A268763 A300850

Adjacent sequences:  A117830 A117831 A117832 * A117834 A117835 A117836

KEYWORD

base,nonn

AUTHOR

Luc Stevens (lms022(AT)yahoo.com), Apr 30 2006

STATUS

approved

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Last modified April 19 08:55 EDT 2019. Contains 322241 sequences. (Running on oeis4.)