A097413 -id:A097413

A097408

Initial decimal digit of n^4.

+10
7

1, 1, 8, 2, 6, 1, 2, 4, 6, 1, 1, 2, 2, 3, 5, 6, 8, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 1, 1, 1, 1, 1, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Gelfand's Question

EXAMPLE

1, 16, 81, 256, 625, 1296, 2401, 4096, 6561, 10000, ...

MAPLE

a:= n-> parse(""||(n^4)[1]):

seq(a(n), n=1..120); # Alois P. Heinz, Jan 28 2016

CROSSREFS

Cf. A000027, A002993, A002994, A097409, A097410, A097411, A097412, A097413, A097414.

KEYWORD

nonn,base,easy

AUTHOR

Eric W. Weisstein, Aug 16 2004

STATUS

approved

A097409

Initial decimal digit of n^5.

+10
7

1, 3, 2, 1, 3, 7, 1, 3, 5, 1, 1, 2, 3, 5, 7, 1, 1, 1, 2, 3, 4, 5, 6, 7, 9, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 9, 1, 1, 1, 1, 1, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Gelfand's Question

EXAMPLE

1, 32, 243, 1024, 3125, 7776, 16807, 32768, 59049, 100000, ...

MAPLE

a:= n-> parse(""||(n^5)[1]):

seq(a(n), n=1..120); # Alois P. Heinz, Jan 28 2016

CROSSREFS

Cf. A000027, A002993, A002994, A097408, A097410, A097411, A097412, A097413, A097414.

KEYWORD

nonn,base,easy

AUTHOR

Eric W. Weisstein, Aug 16 2004

STATUS

approved

A097410

Initial decimal digit of n^6.

+10
6

1, 6, 7, 4, 1, 4, 1, 2, 5, 1, 1, 2, 4, 7, 1, 1, 2, 3, 4, 6, 8, 1, 1, 1, 2, 3, 3, 4, 5, 7, 8, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 8, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 9, 1, 1, 1, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..103.

Eric Weisstein's World of Mathematics, Gelfand's Question

EXAMPLE

1, 64, 729, 4096, 15625, 46656, 117649, 262144, 531441, 1000000, ...

MATHEMATICA

IntegerDigits[#][[1]]&/@(Range[110]^6) (* Harvey P. Dale, Mar 23 2018 *)

CROSSREFS

Cf. A000027, A002993, A002994, A097408, A097409, A097411, A097412, A097413, A097414.

KEYWORD

nonn,base,easy

AUTHOR

Eric W. Weisstein, Aug 16 2004

EXTENSIONS

One prepended by Harvey P. Dale, Mar 23 2018

STATUS

approved

A097411

Initial decimal digit of n^7.

+10
6

1, 1, 2, 1, 7, 2, 8, 2, 4, 1, 1, 3, 6, 1, 1, 2, 4, 6, 8, 1, 1, 2, 3, 4, 6, 8, 1, 1, 1, 2, 2, 3, 4, 5, 6, 7, 9, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 8, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 8, 9, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9, 1, 1, 1, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..103.

Eric Weisstein's World of Mathematics, Gelfand's Question

EXAMPLE

1, 128, 2187, 16384, 78125, 279936, 823543, 2097152, 4782969, 10000000, ...

MATHEMATICA

Table[First[IntegerDigits[n^7]], {n, 110}] (* Harvey P. Dale, Mar 17 2019 *)

CROSSREFS

Cf. A000027, A002993, A002994, A097408, A097409, A097410, A097412, A097413, A097414.

KEYWORD

nonn,base,easy

AUTHOR

Eric W. Weisstein, Aug 16 2004

EXTENSIONS

1 prepended by Harvey P. Dale, Mar 17 2019

STATUS

approved

A097412

Initial decimal digit of n^8.

+10
6

0, 1, 2, 6, 6, 3, 1, 5, 1, 4, 1, 2, 4, 8, 1, 2, 4, 6, 1, 1, 2, 3, 5, 7, 1, 1, 2, 2, 3, 5, 6, 8, 1, 1, 1, 2, 2, 3, 4, 5, 6, 7, 9, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 8, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 1, 1, 1, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..103.

Eric Weisstein's World of Mathematics, Gelfand's Question

EXAMPLE

1, 256, 6561, 65536, 390625, 1679616, 5764801, 16777216, 43046721, 100000000, ...

CROSSREFS

Cf. A000027, A002993, A002994, A097408, A097409, A097410, A097411, A097413, A097414.

KEYWORD

nonn,base,easy

AUTHOR

Eric W. Weisstein, Aug 16 2004

EXTENSIONS

a(0) and a(1) added by Neven Juric, Sep 23 2010

STATUS

approved

A097414

Initial decimal digit of n^10.

+10
6

1, 1, 5, 1, 9, 6, 2, 1, 3, 1, 2, 6, 1, 2, 5, 1, 2, 3, 6, 1, 1, 2, 4, 6, 9, 1, 2, 2, 4, 5, 8, 1, 1, 2, 2, 3, 4, 6, 8, 1, 1, 1, 2, 2, 3, 4, 5, 6, 7, 9, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 1, 1, 1, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..103.

Eric Weisstein's World of Mathematics, Gelfand's Question

EXAMPLE

1, 1024, 59049, 1048576, 9765625, 60466176, 282475249, 1073741824, 3486784401, 10000000000, ...

MATHEMATICA

IntegerDigits[#][[1]]&/@(Range[120]^10) (* Harvey P. Dale, Jan 12 2024 *)

CROSSREFS

Cf. A000027, A002993, A002994, A097408, A097409, A097410, A097411, A097412, A097413.