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A126076
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Numbers n with following property: suppose n^3 = d1 d2 d3 ...dk in decimal; then d1! + d2! + ... + dk! is a square.
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1
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1, 7, 10, 36, 54, 62, 600, 658, 692, 823, 888, 907, 1200, 1389, 1898, 2100, 2171, 2824, 3177, 3344, 3711, 3938, 4680, 5029, 5771, 6737, 6787, 6813, 7517, 9600, 9955, 10436, 11356, 12169, 12867, 12967, 13105, 13588, 13879, 14707, 14867, 15400, 15513
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| a(4)=36
36^3=46656
(4!+6!+6!+5!+6!)^(1/2)=48 is integer
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MAPLE
| a:=proc(n) local nn: nn:=convert(n^3, base, 10): if type(sqrt(add(nn[j]!, j=1..nops(nn))), integer)=true then n else fi end: seq(a(n), n=1..20000); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 06 2007
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CROSSREFS
| Sequence in context: A102574 A119169 A095756 * A099579 A056521 A056510
Adjacent sequences: A126073 A126074 A126075 * A126077 A126078 A126079
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KEYWORD
| nonn
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AUTHOR
| Yalcin Aktar (aktaryalcin(AT)msn.com), Mar 02 2007
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 06 2007
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