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 A073600 Least n^k with same leading decimal digit as n, k>1. 2
 1, 256, 387420489, 4096, 59604644775390625, 60466176, 79792266297612001, 8589934592, 984770902183611232881, 100, 121, 144, 169, 196, 11390625, 1048576, 1419857, 104976, 130321, 25600000000, 278218429446951548637196401 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(n) = n^A073601(n); A000030(a(n)) = A000030(n). LINKS EXAMPLE a(4)=4096, as 4096=4^6 is the least power of 4 with initial digit =4: 4^2=16, 4^3=64, 4^4=256 and 4^5=1024; A073601(4)=6. MATHEMATICA fi[n_] := First[IntegerDigits[n]]; Table[k = 2; While[fi[x = n^k] != fi[n], k++]; x, {n, 21}] (* Jayanta Basu, Jul 02 2013 *) CROSSREFS Sequence in context: A017096 A017192 A013879 * A070327 A008972 A017300 Adjacent sequences:  A073597 A073598 A073599 * A073601 A073602 A073603 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, Aug 04 2002 STATUS approved

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Last modified October 17 01:03 EDT 2019. Contains 328103 sequences. (Running on oeis4.)