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A067103
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a(n) = floor(X/Y), where X = concatenation of cubes and Y = concatenation of natural numbers.
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3
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1, 1, 14, 148, 14804, 1480398, 148039049, 14803895356, 1480389427723, 148038942652481, 14803894265116205, 1480389426511476635, 148038942651147507639, 14803894265114750596056, 1480389426511475059425814, 148038942651147505942389607, 14803894265114750594238756940
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OFFSET
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1,3
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COMMENTS
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a(n) -> 148038942651147505942387547594667814093751032610233441970375...
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LINKS
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EXAMPLE
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a(6) = floor(182764125216/123456) = floor(1480398.888802...) = 1480398.
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MAPLE
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a:= n-> floor(parse(cat(i^3$i=1..n))/parse(cat($1..n))):
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MATHEMATICA
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f[n_] := (k = 1; x = y = "0"; While[k < n + 1, x = StringJoin[x, ToString[k^3]]; y = StringJoin[y, ToString[k]]; k++ ]; Return[ Floor[ ToExpression[x] / ToExpression[y]]] ); Table[ f[n], {n, 1, 20} ]
nn=20; With[{c=Table[IntegerDigits[n^3], {n, nn}], s=Table[IntegerDigits[n], {n, nn}]}, Table[Floor[FromDigits[Flatten[Take[c, i]]]/FromDigits[Flatten[Take[s, i]]]], {i, nn}]] (* Harvey P. Dale, Feb 10 2013 *)
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PROG
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(PARI) c1(n) = my(s=""); for(k=1, n, s=Str(s, k)); eval(s); \\ A007908
c3(n) = my(s=""); for(k=1, n, s=Str(s, k^3)); eval(s); \\ A019522
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CROSSREFS
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Cf. A067091, A067092, A067093, A067094, A067095, A067096, A067097, A067098, A067099, A067100, A067101, A067102.
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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