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 A233456 Numbers k such that k^10 starts with k itself (in base 10). 7
 0, 1, 6, 10, 13, 36, 60, 100, 1000, 10000, 100000, 129155, 278256, 1000000, 10000000, 21544347, 100000000, 1000000000, 10000000000, 59948425032, 100000000000, 599484250319, 1000000000000, 10000000000000, 100000000000000, 464158883361278, 1000000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..27. EXAMPLE 6^10 = 60466176 begins with 6, so 6 is in the sequence. MATHEMATICA kmax=10^6; Select[Range[0, kmax], FromDigits[Drop[IntegerDigits[#^10], -(IntegerLength[#^10]-IntegerLength[#])]]==# &] (* Stefano Spezia, Aug 27 2023 *) PROG (PARI) r=135; print1(1, ", "); e=10; for(n=2, r, p=round((10^(1/(e-1)))^n); f=p^e; b=10^(#Str(f)-#Str(p)); if((f-lift(Mod(f, b)))/b==p, print1(p, ", "))); CROSSREFS Cf. A052210, A052211, A233451, A233452, A233453, A233454, A233455. Sequence in context: A315156 A315157 A135596 * A189762 A163814 A088706 Adjacent sequences: A233453 A233454 A233455 * A233457 A233458 A233459 KEYWORD nonn,base,easy AUTHOR Arkadiusz Wesolowski, Dec 10 2013 EXTENSIONS 0 inserted by Juhani Heino, Aug 31 2015 STATUS approved

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Last modified August 6 00:15 EDT 2024. Contains 374957 sequences. (Running on oeis4.)