A070450 -id:A070450 - cp's OEIS frontend

A070456 a(n) = n^2 mod 34.

0, 1, 4, 9, 16, 25, 2, 15, 30, 13, 32, 19, 8, 33, 26, 21, 18, 17, 18, 21, 26, 33, 8, 19, 32, 13, 30, 15, 2, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 2, 15, 30, 13, 32, 19, 8, 33, 26, 21, 18, 17, 18, 21, 26, 33, 8, 19, 32, 13, 30, 15, 2, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 2, 15, 30

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, 1).

Cf. A070450, A070451, A070453.

Table[Mod[n^2,34],{n,0,200}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2011 *)
PowerMod[Range[0,80],2,34] (* Harvey P. Dale, Mar 11 2023 *)

a(n)=n^2%34 \\ Charles R Greathouse IV, Apr 06 2016

a(n) = a(n-34). - G. C. Greubel, Mar 25 2016

A070457 a(n) = n^2 mod 35.

Original entry on oeis.org

0, 1, 4, 9, 16, 25, 1, 14, 29, 11, 30, 16, 4, 29, 21, 15, 11, 9, 9, 11, 15, 21, 29, 4, 16, 30, 11, 29, 14, 1, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 1, 14, 29, 11, 30, 16, 4, 29, 21, 15, 11, 9, 9, 11, 15, 21, 29, 4, 16, 30, 11, 29, 14, 1, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 1, 14, 29, 11

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, 1).

Cf. A070450, A070451, A070453.

Table[Mod[n^2,35],{n,0,200}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2011 *)
PowerMod[Range[0,80],2,35] (* Harvey P. Dale, Sep 07 2012 *)

a(n)=n^2%35 \\ Charles R Greathouse IV, Apr 06 2016

a(n) = a(n-35). - G. C. Greubel, Mar 25 2016

A070453 a(n) = n^2 mod 31.

Original entry on oeis.org

0, 1, 4, 9, 16, 25, 5, 18, 2, 19, 7, 28, 20, 14, 10, 8, 8, 10, 14, 20, 28, 7, 19, 2, 18, 5, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 5, 18, 2, 19, 7, 28, 20, 14, 10, 8, 8, 10, 14, 20, 28, 7, 19, 2, 18, 5, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 5, 18, 2, 19, 7, 28, 20, 14, 10, 8, 8, 10, 14, 20

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, 1).

Cf. A070450, A070451.

Table[Mod[n^2,31],{n,0,200}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2011 *)

a(n)=n^2%31 \\ Charles R Greathouse IV, Apr 06 2016

a(n) = a(n-31). - G. C. Greubel, Mar 24 2016

A070454 a(n) = n^2 mod 32.

Original entry on oeis.org

0, 1, 4, 9, 16, 25, 4, 17, 0, 17, 4, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 4, 17, 0, 17, 4, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 4, 17, 0, 17, 4, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 4, 17, 0, 17, 4, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 4, 17, 0, 17, 4, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 4, 17

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, 1).

Cf. A070450, A070451, A070453.

Table[Mod[n^2,32],{n,0,200}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2011 *)

a(n)=n^2%32 \\ Charles R Greathouse IV, Apr 06 2016

a(n) = a(n-16). - G. C. Greubel, Mar 24 2016

A070455 a(n) = n^2 mod 33.

Original entry on oeis.org

0, 1, 4, 9, 16, 25, 3, 16, 31, 15, 1, 22, 12, 4, 31, 27, 25, 25, 27, 31, 4, 12, 22, 1, 15, 31, 16, 3, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 3, 16, 31, 15, 1, 22, 12, 4, 31, 27, 25, 25, 27, 31, 4, 12, 22, 1, 15, 31, 16, 3, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 3, 16, 31, 15, 1, 22, 12, 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, 1).

Cf. A070450, A070451, A070453.

Table[Mod[n^2,33],{n,0,200}] (* Vladimir Joseph Stephan Orlovsky, Apr 27 2011 *)

a(n)=n^2%33 \\ Charles R Greathouse IV, Apr 06 2016

a(n) = a(n-33). - G. C. Greubel, Mar 24 2016

cp's OEIS Frontend

A070456 a(n) = n^2 mod 34.

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A070457 a(n) = n^2 mod 35.

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A070453 a(n) = n^2 mod 31.

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A070454 a(n) = n^2 mod 32.

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A070455 a(n) = n^2 mod 33.

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PARI

Formula