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Search: id:A126078
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| A126078 |
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Numbers n with following property: suppose n^5 = d1 d2 d3 ...dk in decimal; then d1! + d2! + ... + dk! is a square. |
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+0
2
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| 1, 396, 849, 1000, 2807, 4274, 4565, 4971, 5000, 6030, 6487, 6942, 7281, 8210, 11163, 11847, 11895, 15015, 17682, 19043, 19584, 19586, 20500, 20577, 20957, 21315, 23000, 23188, 23397, 25747, 27121, 27720, 29241, 29399, 32160, 34233, 35234
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OFFSET
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1,2
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EXAMPLE
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a(2)=396
396^5=9738138110976
(9!+7!+3!+8!+1!+3!+8!+1!+1!+0!+9!+7!+6!)^(1/2)=904
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MAPLE
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a:=proc(n) local nn: nn:=convert(n^5, base, 10): if type(sqrt(add(nn[j]!, j=1..nops(nn))), integer)=true then n else fi end: seq(a(n), n=1..45000); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 06 2007
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CROSSREFS
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Sequence in context: A083752 A047825 A051986 this_sequence A028299 A092720 A034621
Adjacent sequences: A126075 A126076 A126077 this_sequence A126079 A126080 A126081
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KEYWORD
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nonn
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AUTHOR
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Yalcin Aktar (aktaryalcin(AT)msn.com), Mar 02 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 06 2007
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