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A131496
Values of n such that n^Pi starts with the digits n.
2
1, 3, 9, 74, 15940, 136888, 401150, 29585255, 86699685, 2181946705, 6394201903, 18738229439, 54912442215, 160921090214, 4049856052188, 34779553385863, 875287288851249, 7516835314214410, 64553448748440886, 189174091165714089, 1624598582798015801, 4760891422045743495, 119816022336026653554
OFFSET
1,2
COMMENTS
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
LINKS
EXAMPLE
74 is a term of this sequence because 74^Pi = 745357.5218745..., which starts with 74.
PROG
(PARI) s=1; for(i=1, 500000, s=i^Pi; while(s-i>11, s=s/10); if(floor(s)==i, printp1(i, ", "), ))
CROSSREFS
Sequence in context: A305855 A018576 A027290 * A367429 A132294 A032330
KEYWORD
nonn,base
AUTHOR
Randy L. Ekl, Aug 12 2007
EXTENSIONS
More terms from Jon E. Schoenfield, Jul 17 2010
Terms a(21) onward from Max Alekseyev, Sep 08 2013
STATUS
approved