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

Author

Jonathan PP Martin, Jan 16 2015

Keywords

• nonn
• base
• dumb
• easy

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

Crossrefs

Cf. A000796.

Programs

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 *)

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

Formula

a(n) = A000796(n)^A000796(n+1). - Felix Fröhlich, Sep 23 2019

Extensions

More terms from Felix Fröhlich, Sep 23 2019