

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
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OFFSET

1,2


COMMENTS

Values can occur only at ceiling(x^k) where k is a nonnegative integer and x = 10^(1/(Pi1)) = 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(si>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



