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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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0
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1, 3, 9, 74, 15940, 136888, 401150, 29585255, 86699685, 2181946705, 6394201903, 18738229439, 54912442215, 160921090214, 4049856052188, 34779553385863, 875287288851249, 7516835314214410, 64553448748440886, 189174091165714089
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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). [From Jon E. Schoenfield (jonscho(AT)hiwaay.net), Jul 17 2010]
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EXAMPLE
| 74 is a term of this sequence because 74^PI = 745357.5218745..., which starts with 74.
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PROG
| (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
| Sequence in context: A102322 A018576 A027290 * A132294 A032330 A018604
Adjacent sequences: A131493 A131494 A131495 * A131497 A131498 A131499
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KEYWORD
| nonn,base
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AUTHOR
| Randy L. Ekl (Randy.Ekl(AT)Motorola.com), Aug 12 2007
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EXTENSIONS
| More terms from Jon E. Schoenfield (jonscho(AT)hiwaay.net), Jul 17 2010
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