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A253828
Digit of Pi raised to the power of the next digit of Pi.
2
3, 1, 4, 1, 1953125, 81, 64, 7776, 125, 243, 390625, 134217728, 4782969, 40353607, 729, 9, 8, 6561, 4096, 4096, 36, 64, 1296, 64, 27, 6561, 512, 9, 128, 40353607, 59049, 1, 0, 256, 16777216, 4096, 4, 1, 4782969, 7, 1, 10077696, 729, 19683, 387420489, 729, 2187
OFFSET
1,1
COMMENTS
From Felix Fröhlich, Sep 23 2019: (Start)
The convention 0^0 = 1 was applied in computing the terms.
There are 61 values that can occur in this sequence, namely all numbers of the form x^y for some 0 <= x, y <= 9. (End)
LINKS
FORMULA
a(n) = A000796(n)^A000796(n+1). - Felix Fröhlich, Sep 23 2019
MATHEMATICA
Module[{nn=1000, pidg}, pidg=Partition[RealDigits[Pi, 10, nn][[1]], 2, 1]; If[ # == {0, 0}, 1, #[[1]]^#[[2]]]&/@pidg] (* Harvey P. Dale, Oct 24 2021 *)
PROG
(PARI) pistring(n) = default(realprecision, n+10); my(x=Pi); floor(x*10^n)
pidigit(n) = pistring(n)-10*pistring(n-1)
a(n) = pidigit(n-1)^pidigit(n) \\ Felix Fröhlich, Sep 23 2019
CROSSREFS
Cf. A000796.
Sequence in context: A341766 A131632 A051348 * A190445 A141648 A118874
KEYWORD
nonn,base,dumb,easy
AUTHOR
Jonathan PP Martin, Jan 16 2015
EXTENSIONS
More terms from Felix Fröhlich, Sep 23 2019
STATUS
approved