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A117224
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Numbers for which the square and the cube have the same digital sum.
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1
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0, 1, 3, 6, 10, 24, 28, 30, 37, 60, 64, 81, 87, 93, 100, 114, 118, 136, 163, 219, 222, 228, 234, 240, 252, 258, 267, 273, 276, 280, 291, 294, 300, 312, 316, 342, 343, 370, 384, 387, 433, 447, 468, 469, 477, 478, 507, 525, 534, 537, 541, 585, 591, 600, 606, 613
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..56.
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EXAMPLE
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24 is in the sequence because 24^2=576, 24^3=13824 and 5+7+6=1+3+8+2+4.
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MAPLE
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a:=proc(n) local nn, nnn: nn:=convert(n^2, base, 10): nnn:=convert(n^3, base, 10): if sum(nn[i], i=1..nops(nn))=sum(nnn[j], j=1..nops(nnn)) then n else fi end: seq(a(n), n=0..620); - Emeric Deutsch, Apr 27 2006
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PROG
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(MAGMA) [n: n in [0..613] | &+Intseq(n^2) eq &+Intseq(n^3)]; // Bruno Berselli, Jun 28 2011
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CROSSREFS
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Cf. A058369.
Sequence in context: A220827 A063015 A091616 * A173957 A048006 A211231
Adjacent sequences: A117221 A117222 A117223 * A117225 A117226 A117227
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KEYWORD
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base,nonn
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), Apr 21 2006
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EXTENSIONS
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Offset corrected by Arkadiusz Wesolowski, Jun 28 2011
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STATUS
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approved
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