A165592 -id:A165592 - cp's OEIS frontend

A165593 Positions of zeros in A165592.

0, 2, 8, 10, 22, 24, 30, 34, 36, 38, 42, 52, 56, 58, 60, 62, 64, 70, 130, 132, 134, 138, 226, 227, 229, 324, 370, 372, 410, 412, 414, 416, 418, 420, 422, 424, 426, 430, 459, 469, 471, 487, 763, 765, 767, 769, 771, 773, 777, 790, 792, 794, 796, 798, 800, 806

Offset: 0

Antti Karttunen, Sep 22 2009

nonn

A. Karttunen, Table of n, a(n) for n = 0..462

See also A165594, A165595. Compare also to A165598.

A165595 A maximum absolute value of A165592 in range [A165593(n),A165593(n+1)].

Original entry on oeis.org

1, 3, 1, 4, 1, 3, -2, -1, -1, -2, 3, -2, -1, -1, -1, -1, -2, -10, -1, 1, 2, -10, 0, -1, -10, -8, 1, 7, -1, 1, -1, -1, 1, 1, -1, -1, 2, 4, 4, 1, 4, 20, 1, -1, 1, 1, 1, -2, -4, 1, 1, -1, 1, 1, 2, -1, 1, -1, 7, 2, 1, 1, 2, -1, -2, -2, -4, 1, -1, -2, 1, -5, 1, -2, -3, -1, 2, -1, 47, -1, 2

Offset: 0

Antti Karttunen, Sep 22 2009

sign

Period 461. Cf. A165600.

A. Karttunen, Table of n, a(n) for n = 0..460

a(n) = A165592(A165594(n)).

A165594 a(n) = Least i in range [A165593(n),A165593(n+1)] for which abs(A165592(i)) gets the maximum value in that range.

Original entry on oeis.org

1, 5, 9, 16, 23, 27, 32, 35, 37, 40, 45, 54, 57, 59, 61, 63, 66, 98, 131, 133, 136, 162, 226, 228, 266, 348, 371, 379, 411, 413, 415, 417, 419, 421, 423, 425, 428, 446, 463, 470, 479, 689, 764, 766, 768, 770, 772, 775, 781, 791, 793, 795, 797, 799, 802, 807

Offset: 0

Antti Karttunen, Sep 22 2009

nonn

A. Karttunen, Table of n, a(n) for n = 0..461

A165595 gives the corresponding maximum values.

A165582 Partial sums of A165581.

Original entry on oeis.org

0, 1, 2, 1, 2, 1, 0, -1, 0, 1, 0, -1, -2, -1, -2, -1, 0, -1, 0, -1, -2, -1, -2, -3, -4, -3, -2, -3, -4, -3, -2, -1, 0, 1, 0, 1, 2, 3, 2, 1, 0, 1, 2, 1, 0, -1, -2, -3, -4, -3, -2, -1, 0, 1, 0, 1, 0, 1, 2, 3, 4, 3, 4, 3, 4, 3, 4, 5, 4, 5, 6, 7, 8, 9, 10, 9, 8, 9, 8, 9, 8, 9, 10, 9, 10, 11, 10

Offset: 0

Antti Karttunen, Sep 22 2009

Period 524287. The largest value 658 occurs in four positions: a(184560) = a(184562) = a(339724) = a(339726) = 658. Note that a(262143) = 255 and a(174762) = a(349524) = 510. (Cf. to A165477 and see comments at A165479).

A. Karttunen, Table of n, a(n) for n = 0..524287

Positions of zeros: A165583. See also A165584, A165585. Similar sequences: A165472, A165477, A165482, A165575-A165579, A165582, A165587, A165592, A165597.

a(n)=sum(k=1,n%524287,kronecker(n,524287)) \\ Charles R Greathouse IV, Aug 06 2012

A165587 Partial sums of A165586.

Original entry on oeis.org

0, 1, 0, -1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 1, 2, 1, 0, 1, 2, 3, 2, 1, 2, 3, 4, 5, 4, 3, 2, 3, 4, 5, 6, 5, 4, 3, 4, 5, 6, 7, 6, 7, 6, 7, 6, 5, 6, 5, 6, 7, 6, 7, 6, 5, 4, 5, 4, 5, 6, 7, 8, 9, 10, 9, 8, 7, 6, 5, 4, 3, 2, 3, 4, 5, 6, 7, 8, 9, 8, 9, 8, 7, 6, 5, 4, 5, 6, 5, 4, 3, 4, 5, 4, 5, 6, 5

Offset: 0

Antti Karttunen, Sep 22 2009

sign

Period 514229.

A. Karttunen, Table of n, a(n) for n = 0..514229

Positions of zeros: A165588. See also A165589, A165590. Similar sequences: A165472, A165477, A165482, A165575-A165579, A165582, A165587, A165592, A165597.

A165597 Partial sums of A165596.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 5, 6, 7, 8, 7, 8, 9, 8, 9, 10, 9, 10, 9, 10, 9, 8, 9, 10, 11, 12, 13, 12, 13, 14, 15, 16, 15, 14, 13, 14, 13, 12, 13, 14, 15, 14, 15, 14, 15, 16, 17, 18, 19, 20, 19, 20, 21, 22, 21, 20, 19, 20, 19, 20, 19, 20, 19, 20, 21, 20, 19, 18, 19, 18, 17, 18, 17, 16, 17

Offset: 0

Antti Karttunen, Sep 22 2009

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Period 59881.

First entry < 0: a(17698) = -1.

A. Karttunen, Table of n, a(n) for n = 0..59881

Positions of zeros: A165598. See also A165599, A165590. Similar sequences: A165472, A165477, A165482, A165575-A165579, A165582, A165587, A165592, A165597.

A165575 Partial sums of A165573.

Original entry on oeis.org

0, 1, 2, 1, 2, 1, 0, -1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 4, 3, 2, 3, 4, 5, 4, 5, 6, 5, 4, 5, 6, 7, 8, 7, 8, 9, 10, 9, 8, 7, 6, 5, 6, 5, 6, 5, 6, 5, 4, 5, 6, 5, 6, 5, 4, 3, 2, 3, 4, 5, 6, 7, 8, 7, 8, 7, 6, 7, 8, 7, 8, 7, 8, 9, 8, 7, 6, 5, 4, 5, 4, 5, 4, 3, 4, 3, 2, 1, 2, 3, 2, 1, 2, 1, 0, 1, 0, -1, 0, 1, 2, 1

Offset: 0

Antti Karttunen, Sep 22 2009

sign

Period 257.

A. Karttunen, Table of n, a(n) for n = 0..59881

Similar sequences: A165576-A165579, A165472, A165477, A165482, A165582, A165587, A165592, A165597.

A165579 Partial sums of A011628.

Original entry on oeis.org

0, 1, 2, 1, 2, 1, 0, 1, 2, 3, 2, 1, 0, 1, 2, 3, 4, 3, 4, 5, 4, 3, 2, 3, 2, 3, 4, 3, 4, 5, 6, 7, 8, 9, 8, 7, 8, 9, 10, 9, 8, 7, 6, 5, 4, 3, 4, 3, 2, 3, 4, 5, 6, 5, 4, 5, 6, 5, 6, 5, 6, 5, 6, 7, 8, 7, 8, 7, 6, 5, 4, 5, 6, 5, 6, 5, 6, 5, 4, 3, 2, 3, 2, 1, 0, 1, 0, -1, -2, -1, -2, -1, 0, -1, -2, -3, -4

Offset: 0

Antti Karttunen, Sep 22 2009

sign

Period 233.

A. Karttunen, Table of n, a(n) for n = 0..59881

Similar sequences: A165575-A165578, A165472, A165477, A165482, A165582, A165587, A165592, A165597.

Table[ JacobiSymbol[n, 233], {n, 0, 96}] // Accumulate (* Jean-François Alcover, Oct 08 2013 *)

A165576 Partial sums of A165574.

Original entry on oeis.org

0, 1, 2, 3, 4, 3, 4, 3, 4, 5, 4, 5, 6, 7, 6, 5, 6, 7, 8, 7, 6, 5, 6, 7, 8, 9, 10, 11, 10, 9, 8, 9, 10, 11, 12, 13, 14, 15, 14, 15, 14, 13, 12, 13, 14, 13, 14, 13, 14, 15, 16, 17, 18, 17, 18, 17, 16, 15, 14, 13, 12, 13, 14, 13, 14, 13, 14, 13, 14, 15, 16, 15, 16, 15, 16, 17, 16, 15

Offset: 0

Antti Karttunen, Sep 22 2009

nonn

Period 263. There are no negative values as 263 is one of the primes in A095102.

A. Karttunen, Table of n, a(n) for n = 0..59701

Similar sequences: A165575-A165579, A165472, A165477, A165482, A165582, A165587, A165592, A165597.

Accumulate[JacobiSymbol[Range[0,90],263]] (* Harvey P. Dale, Sep 01 2021 *)

A165591 Jacobi symbol (n,59701).

Original entry on oeis.org

0, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1

Offset: 0

Antti Karttunen, Sep 22 2009

Semiprime 59701 = 227*263 = A005385(11)*A005385(12).

A. Karttunen, Table of n, a(n) for n = 0..59701

a(n) = A011626(n)*A165574(n). Partial sums: A165592. Cf. A165471.

cp's OEIS Frontend

A165593 Positions of zeros in A165592.

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A165595 A maximum absolute value of A165592 in range [A165593(n),A165593(n+1)].

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A165594 a(n) = Least i in range [A165593(n),A165593(n+1)] for which abs(A165592(i)) gets the maximum value in that range.

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A165582 Partial sums of A165581.

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A165587 Partial sums of A165586.

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A165597 Partial sums of A165596.

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A165575 Partial sums of A165573.

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A165579 Partial sums of A011628.

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Mathematica

A165576 Partial sums of A165574.

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Mathematica

A165591 Jacobi symbol (n,59701).

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