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Search: id:A102831
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| A102831 |
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Number of n-digit 4th powers. |
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+0
1
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| 2, 2, 2, 4, 8, 14, 25, 43, 78, 139, 246, 437, 779, 1384, 2461, 4376, 7783, 13840, 24612, 43765, 77828, 138400, 246114, 437658, 778280, 1383998, 2461136, 4376586, 7782795, 13839982, 24611356, 43765867, 77827942, 138399825, 246113559
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The number 0 is considered a 1-digit 4th power. This is consistent with A062941 which considers 0 a 1-digit cube, but is inconsistent with A049415 which does not consider 0 a 1-digit square.
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EXAMPLE
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a(1)=2 because there are 2 1-digit 4th powers, 0 and 1.
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MATHEMATICA
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f[n_] := If[n == 1, 2, Ceiling[ Sqrt[ Sqrt[10^n]]] - Ceiling[ Sqrt[ Sqrt[10^(n - 1)]]]]; Table[ f[n], {n, 34}] (from Robert G. Wilson v Mar 03 2005)
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CROSSREFS
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Cf. A062941, A049415.
Adjacent sequences: A102828 A102829 A102830 this_sequence A102832 A102833 A102834
Sequence in context: A077943 A077993 A099768 this_sequence A021822 A130707 A131562
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KEYWORD
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easy,nonn,base
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AUTHOR
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James Buddenhagen (jbuddenh(AT)gmail.com), Feb 27 2005
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 03 2005
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