A253828 Digit of Pi raised to the power of the next digit of Pi.

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

Felix Fröhlich, Table of n, a(n) for n = 1..10000

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

Adjacent sequences: A253825 A253826 A253827 * A253829 A253830 A253831

Keyword

nonn,base,dumb,easy

Author

Jonathan PP Martin, Jan 16 2015

Extensions

More terms from Felix Fröhlich, Sep 23 2019

Status

approved