A070457 -id:A070457 - cp's OEIS frontend

A070461 a(n) = n^2 mod 39.

0, 1, 4, 9, 16, 25, 36, 10, 25, 3, 22, 4, 27, 13, 1, 30, 22, 16, 12, 10, 10, 12, 16, 22, 30, 1, 13, 27, 4, 22, 3, 25, 10, 36, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 36, 10, 25, 3, 22, 4, 27, 13, 1, 30, 22, 16, 12, 10, 10, 12, 16, 22, 30, 1, 13, 27, 4, 22, 3, 25, 10, 36, 25, 16, 9, 4, 1, 0

Offset: 0

N. J. A. Sloane, May 12 2002

G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A070456, A070457.

Table[Mod[n^2,39],{n,0,200}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2011 *)
PowerMod[Range[0,80],2,39] (* Harvey P. Dale, Aug 31 2014 *)

a(n)=n^2%39 \\ Charles R Greathouse IV, Apr 06 2016

a(n) = a(n-39). - G. C. Greubel, Mar 25 2016

A070462 a(n) = n^2 mod 40.

Original entry on oeis.org

0, 1, 4, 9, 16, 25, 36, 9, 24, 1, 20, 1, 24, 9, 36, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 36, 9, 24, 1, 20, 1, 24, 9, 36, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 36, 9, 24, 1, 20, 1, 24, 9, 36, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 36, 9, 24, 1, 20, 1, 24, 9, 36, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16

Offset: 0

N. J. A. Sloane, May 12 2002

G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A070456, A070457.

Table[Mod[n^2,40],{n,0,200}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2011 *)
PowerMod[Range[0,90],2,40] (* Harvey P. Dale, Oct 20 2013 *)

a(n)=n^2%40 \\ Charles R Greathouse IV, Apr 06 2016

a(n) = a(n-20). - G. C. Greubel, Mar 25 2016

A070458 a(n) = n^2 mod 36.

Original entry on oeis.org

0, 1, 4, 9, 16, 25, 0, 13, 28, 9, 28, 13, 0, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 0, 13, 28, 9, 28, 13, 0, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 0, 13, 28, 9, 28, 13, 0, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 0, 13, 28, 9, 28, 13, 0, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 0, 13, 28, 9, 28, 13, 0

Offset: 0

N. J. A. Sloane, May 12 2002

G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A070456, A070457.

Table[Mod[n^2,36],{n,0,200}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2011 *)
PowerMod[Range[0,90],2,36] (* Harvey P. Dale, Jan 02 2016 *)

a(n)=n^2%36 \\ Charles R Greathouse IV, Apr 06 2016

a(n) = a(n-18). - G. C. Greubel, Mar 25 2016

A070459 a(n) = n^2 mod 37.

Original entry on oeis.org

0, 1, 4, 9, 16, 25, 36, 12, 27, 7, 26, 10, 33, 21, 11, 3, 34, 30, 28, 28, 30, 34, 3, 11, 21, 33, 10, 26, 7, 27, 12, 36, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 36, 12, 27, 7, 26, 10, 33, 21, 11, 3, 34, 30, 28, 28, 30, 34, 3, 11, 21, 33, 10, 26, 7, 27, 12, 36, 25, 16, 9, 4, 1, 0, 1, 4

Offset: 0

N. J. A. Sloane, May 12 2002

This is sequence repeat(0, S, reverse(S)), with S := Sequence(a(n), n = 1..18). [0, ordered(S)] is A010398. - Wolfdieter Lang, Jun 24 2019

G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A010398, A070456, A070457.

PowerMod[Range[0, 110], 2, 37] (* Harvey P. Dale, Aug 22 2015 *)

a(n)=n^2%37 \\ Charles R Greathouse IV, Apr 06 2016

(0 to 99).map(n => (n * n) % 37) // Alonso del Arte, Jun 24 2019

a(n) = a(n-37). - G. C. Greubel, Mar 25 2016

A070460 a(n) = n^2 mod 38.

Original entry on oeis.org

0, 1, 4, 9, 16, 25, 36, 11, 26, 5, 24, 7, 30, 17, 6, 35, 28, 23, 20, 19, 20, 23, 28, 35, 6, 17, 30, 7, 24, 5, 26, 11, 36, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 36, 11, 26, 5, 24, 7, 30, 17, 6, 35, 28, 23, 20, 19, 20, 23, 28, 35, 6, 17, 30, 7, 24, 5, 26, 11, 36, 25, 16, 9, 4, 1, 0, 1, 4

Offset: 0

N. J. A. Sloane, May 12 2002

G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Cf. A070456, A070457.

Table[Mod[n^2,38],{n,0,200}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2011 *)
PowerMod[Range[0,80],2,38] (* Harvey P. Dale, Feb 10 2015 *)

a(n)=n^2%38 \\ Charles R Greathouse IV, Apr 06 2016

a(n) = a(n-38). - G. C. Greubel, Mar 25 2016

cp's OEIS Frontend

A070461 a(n) = n^2 mod 39.

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A070462 a(n) = n^2 mod 40.

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A070458 a(n) = n^2 mod 36.

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A070459 a(n) = n^2 mod 37.

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A070460 a(n) = n^2 mod 38.

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