A097411 -id:A097411 - cp's OEIS frontend

A097408 Initial decimal digit of n^4.

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

Offset: 1

Eric W. Weisstein, Aug 16 2004

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

Alois P. Heinz, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Gelfand's Question

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

a:= n-> parse(""||(n^4)[1]):
seq(a(n), n=1..120);  # Alois P. Heinz, Jan 28 2016

A097409 Initial decimal digit of n^5.

Original entry on oeis.org

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

Offset: 1

Eric W. Weisstein, Aug 16 2004

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

Alois P. Heinz, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Gelfand's Question

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

a:= n-> parse(""||(n^5)[1]):
seq(a(n), n=1..120);  # Alois P. Heinz, Jan 28 2016

A097413 Initial decimal digit of n^9.

Original entry on oeis.org

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

Offset: 1

Eric W. Weisstein, Aug 16 2004

			1, 512, 19683, 262144, 1953125, 10077696, 40353607, 134217728, 387420489, 1000000000, ...

Robert Israel, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Gelfand's Question

Cf. A000027, A000030, A002993, A002994, A004216, A097408, A097409, A097410, A097411, A097412, A097414.

idd:= n -> floor(n/10^ilog10(n)):
seq(idd(n^9),n=2..100); # Robert Israel, Jan 28 2016

Table[IntegerDigits[n^9][[1]],{n,120}] (* Harvey P. Dale, Aug 25 2023 *)

a(n) = A000030(n^9) = floor(n^9/10^A004216(n^9)). - Robert Israel, Jan 28 2016

A097410 Initial decimal digit of n^6.

Original entry on oeis.org

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

Offset: 1

Eric W. Weisstein, Aug 16 2004

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

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

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

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

One prepended by Harvey P. Dale, Mar 23 2018

A097412 Initial decimal digit of n^8.

Original entry on oeis.org

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

Offset: 0

Eric W. Weisstein, Aug 16 2004

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

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

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

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

A097414 Initial decimal digit of n^10.

Original entry on oeis.org

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

Offset: 1

Eric W. Weisstein, Aug 16 2004

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

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

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

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

a(1) inserted by Pontus von Brömssen, Jul 02 2021

cp's OEIS Frontend

A097408 Initial decimal digit of n^4.

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A097409 Initial decimal digit of n^5.

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A097413 Initial decimal digit of n^9.

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A097410 Initial decimal digit of n^6.

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A097412 Initial decimal digit of n^8.

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A097414 Initial decimal digit of n^10.

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