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A340270
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a(n) = (n')^A054054(n), where n' is the number resulting from removing the rightmost occurrence of the smallest digit of n, A054054(n).
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2
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0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 4, 9, 16, 25, 36, 49, 64, 81, 1, 3, 9, 27, 64, 125, 216, 343, 512, 729, 1, 4, 16, 64, 256, 625, 1296, 2401, 4096, 6561, 1, 5, 25, 125, 625, 3125, 7776, 16807, 32768, 59049, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,12
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COMMENTS
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Suggested by Eric Angelini's posting to Math-Fun mailing list, Dec. 29, 2020.
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LINKS
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EXAMPLE
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a(201) = 21^0 = 1, a(21) = 2^1 = 2, a(232) = 23^2 = 529.
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MAPLE
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leastdigit:=proc(n)
min(convert(n, base, 10));
end:
locationdigit:=proc(n, d)
local L, i;
L:=convert(n, base, 10);
for i from 1 to nops(L) do
if d = L[i] then return (nops(L)+1-i); fi;
od:
end:
cutout:=proc(X, i) [seq(X[j], j=1..i-1), seq(X[j], j=i+1..nops(X))]; end:
ToNum:=proc(X)
add(X[i]*10^(nops(X)-i), i=1..nops(X));
end:
removeleastdigit:=proc(n)
local i, X;
i:=locationdigit(n, leastdigit(n));
X:=ListTools:-Reverse(convert(n, base, 10));
ToNum(cutout(X, i));
end proc:
a:=proc(n)
removeleastdigit(n)^leastdigit(n);
end:
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PROG
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(Python)
(PARI) apply( {A340270(n, m=vecmin(n=digits(n)))=#n>1&& forstep( i=#n, 1, -1, n[i]==m && return(fromdigits(n[^i])^m))}, [1..99]) \\ M. F. Hasler, Jan 03 2021
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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