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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 (list; graph; refs; listen; history; text; internal format)
 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 Max Alekseyev, Table of n, a(n) for n = 1..300 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 * A132294 A032330 A018604 Adjacent sequences: A131493 A131494 A131495 * A131497 A131498 A131499 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

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Last modified March 20 21:07 EDT 2023. Contains 361391 sequences. (Running on oeis4.)