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A131496
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Values of n such that n^Pi starts with the digits n.
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2
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1, 3, 9, 74, 15940, 136888, 401150, 29585255, 86699685, 2181946705, 6394201903, 18738229439, 54912442215, 160921090214, 4049856052188, 34779553385863, 875287288851249, 7516835314214410, 64553448748440886, 189174091165714089, 1624598582798015801, 4760891422045743495, 119816022336026653554
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OFFSET
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1,2
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COMMENTS
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Values can occur only at ceiling(x^k) where k is a nonnegative integer and x = 10^(1/(Pi-1)) = 2.9305032470520496858554269... (i.e., the solution of x^Pi = 10*x). - Jon E. Schoenfield, Jul 17 2010
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LINKS
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Max Alekseyev, Table of n, a(n) for n = 1..300
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EXAMPLE
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74 is a term of this sequence because 74^Pi = 745357.5218745..., which starts with 74.
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PROG
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(PARI) s=1; for(i=1, 500000, s=i^Pi; while(s-i>11, s=s/10); if(floor(s)==i, printp1(i, ", "), ))
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CROSSREFS
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Sequence in context: A305855 A018576 A027290 * A132294 A032330 A018604
Adjacent sequences: A131493 A131494 A131495 * A131497 A131498 A131499
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KEYWORD
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nonn,base
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AUTHOR
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Randy L. Ekl, Aug 12 2007
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EXTENSIONS
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More terms from Jon E. Schoenfield, Jul 17 2010
Terms a(21) onward from Max Alekseyev, Sep 08 2013
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STATUS
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approved
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