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Search: id:A126077
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| A126077 |
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Numbers n with following property: suppose n^4 = d1 d2 d3 ...dk in decimal; then d1! + d2! + ... + dk! is a square. |
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+0
2
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| 1, 39, 100, 200, 305, 590, 652, 700, 1207, 1270, 1900, 2302, 2491, 4666, 6697, 9282, 10188, 10480, 11853, 12421, 13630, 13866, 14043, 14208, 14963, 15739, 15740, 18300, 18543, 18951, 20064, 21185, 21737, 23233, 24396, 24945, 25131, 25657
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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a(2)=39
39^4=2313441
(2!+3!+1!+3!+4!+4!+1!)^(1/2)=8
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MAPLE
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a:=proc(n) local nn: nn:=convert(n^4, base, 10): if type(sqrt(add(nn[j]!, j=1..nops(nn))), integer)=true then n else fi end: seq(a(n), n=1..32000); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 06 2007
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CROSSREFS
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Sequence in context: A043245 A044025 A062668 this_sequence A044226 A044607 A008878
Adjacent sequences: A126074 A126075 A126076 this_sequence A126078 A126079 A126080
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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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