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Search: id:A073637
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| 8, 9, 8, 1, 8, 1, 8, 1, 8, 8, 1, 1, 8, 1, 8, 8, 8, 1, 1, 8, 1, 1, 8, 8, 1, 8, 1, 8, 1, 8, 1, 8, 8, 1, 8, 1, 1, 1, 8, 8, 8, 1, 8, 1, 8, 1, 1, 1, 8, 1, 8, 8, 1, 8, 8, 8, 8, 1, 1, 8, 1, 8, 1, 8, 1, 8, 1, 1, 8, 1, 8, 8, 1, 1, 1, 8, 8, 1, 8, 1, 8, 1, 8, 1, 1, 8, 8, 1, 8, 1, 8, 8, 1, 8, 1, 8, 8, 8, 1, 1
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Apart from a(2)=9 all other terms are either 1 or 8.
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EXAMPLE
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a(3)=8 because p(3)=5 and 5^3=125 -> sum-of-digits = 8. a(4)=1 because p(3)=7 and 7^3=343 -> sum-of-digits = 10 -> sum-of-digits = 1.
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MATHEMATICA
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n=3; su[x_] := Sum[IntegerDigits[x][[i]], {i, Length[IntegerDigits[x]]}]; Table[su[su[su[su[Prime[x]^n]]]], {x, 100}]
Table[If[(m9=Mod[Prime[n]^3, 9])==0, 9, m9], {n, 200}]
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CROSSREFS
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Cf. A010888, A021596, A056992, A010888, A038194, A166923.
Sequence in context: A154582 A020507 A011463 this_sequence A153202 A019738 A135466
Adjacent sequences: A073634 A073635 A073636 this_sequence A073638 A073639 A073640
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KEYWORD
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nonn,base
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Sep 01 2002, Oct 23 2009
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EXTENSIONS
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Edited by njas, Oct 29 2009
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