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A117711 Pentagonal numbers for which both the sum of the digits and the product of the digits are pentagonal numbers. +0
1
0, 1, 5, 6501, 8400, 10542, 10795, 18760, 21540, 32340, 45850, 50142, 50692, 55200, 60501, 72490, 91390, 104412, 127750, 160230, 170185, 179401, 208507, 239800, 250717, 272001, 273208, 333940, 346801, 400675, 429070, 442002, 520087, 536107 (list; graph; listen)
OFFSET

0,3

EXAMPLE

6501 is in the sequence because it is a pentagonal number and (1) the sum of its digits 6+5+0+1=12 is a pentagonal number and (2)the product of its digits 6*5*0*1=0 is also a pentagonal number.

CROSSREFS

Cf. A000326.

Sequence in context: A072021 A079812 A137694 this_sequence A116140 A145530 A067816

Adjacent sequences: A117708 A117709 A117710 this_sequence A117712 A117713 A117714

KEYWORD

base,nonn

AUTHOR

Luc Stevens (lms022(AT)yahoo.com), Apr 13 2006

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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