A165482 -id:A165482 - cp's OEIS frontend

A165483 Positions of 0's in A165482.

0, 22, 24, 26, 28, 30, 32, 36, 38, 58, 170, 172, 174, 182, 184, 186, 190, 192, 194, 204, 206, 212, 216, 218, 224, 226, 228, 230, 236, 238, 240, 242, 248, 256, 260, 266, 268, 270, 300, 306, 308, 320, 322, 324, 326, 328, 330, 332, 334, 336, 350, 356, 8702

Offset: 0

Antti Karttunen, Sep 21 2009

nonn

A. Karttunen, Table of n, a(n) for n = 0..234

Cf. A165482.

See also A165484, A165485. Compare also to A165473, A165478.

A165484 a(n) = Least i in range [A165483(n),A165483(n+1)] for which abs(A165482(i)) gets the maximum value in that range.

Original entry on oeis.org

9, 23, 25, 27, 29, 31, 34, 37, 46, 139, 171, 173, 177, 183, 185, 188, 191, 193, 200, 205, 209, 214, 217, 221, 225, 227, 229, 233, 237, 239, 241, 244, 252, 258, 263, 267, 269, 279, 302, 307, 311, 321, 323, 325, 327, 329, 331, 333, 335, 342, 352, 3615

Offset: 0

Antti Karttunen, Sep 21 2009

nonn

A. Karttunen, Table of n, a(n) for n = 0..234

A165485 gives the corresponding maximum values.

A165485 A maximum absolute value of A165482 in range [A165483(n),A165483(n+1)].

Original entry on oeis.org

5, -1, 1, 1, 1, -1, -2, -1, -6, -11, 1, -1, -3, 1, 1, 2, -1, 1, 4, -1, -3, -2, 1, 3, 1, -1, -1, 3, -1, 1, -1, 2, -4, -2, 3, 1, 1, -7, 2, -1, 3, -1, -1, -1, -1, -1, 1, -1, 1, 4, -2, 107, -12, -15, -1, 1, 1, -2, 2, -1, -1, -5, 4, 4, 1, 1, 2, 78, -3, 2, -2, 1, 2, -1, 1, -2, -9, 1, -1, 1

Offset: 0

Antti Karttunen, Sep 21 2009

sign

Period 233.

A. Karttunen, Table of n, a(n) for n = 0..234

a(n) = A165482(A165484(n)).

A165488 Square the terms of A165482 while preserving the signs.

Original entry on oeis.org

0, 1, 4, 9, 16, 9, 16, 9, 16, 25, 16, 9, 16, 9, 4, 1, 4, 1, 4, 9, 4, 1, 0, -1, 0, 1, 0, 1, 0, 1, 0, -1, 0, -1, -4, -1, 0, -1, 0, -1, -4, -1, -4, -9, -16, -25, -36, -25, -16, -9, -4, -9, -16, -9, -4, -1, -4, -1, 0, -1, -4, -1, -4, -9, -4, -1, -4, -9, -16, -25, -16, -25, -16, -9

Offset: 0

Antti Karttunen, Sep 21 2009

sign

Period 28657.

A. Karttunen, Table of n, a(n) for n = 0..28657

Cf. A165486, A165487, A165488.

Definition revised by N. J. A. Sloane, Jan 26 2013

A165472 Partial sums of A165471.

Original entry on oeis.org

0, 1, 2, 1, 2, 1, 0, -1, 0, 1, 0, -1, -2, -1, -2, -1, 0, 1, 2, 3, 2, 3, 2, 1, 0, 1, 2, 1, 0, -1, 0, -1, 0, 1, 2, 3, 4, 5, 6, 5, 4, 3, 4, 3, 2, 1, 0, -1, -2, -1, 0, -1, 0, 1, 0, 1, 0, -1, -2, -3, -2, -3, -4, -5, -4, -5, -4, -5, -4, -3, -2, -1, 0, -1, 0, -1, 0, 1, 0, 1, 0, 1, 0, -1, 0, -1, -2

Offset: 0

Antti Karttunen, Sep 21 2009

Period 65537.

Maximum value is 160 at a(65537n + 16382) and a(65537n + 16384); minimum value is -160 at a(65537n + 49152) and a(65537n + 49154). - Charles R Greathouse IV, Aug 06 2012

A. Karttunen, Table of n, a(n) for n = 0..65537

A165486 gives the squared version. Positions of zeros: A165473. See also A165474, A165475. Compare also to A165477, A165482.

A165477 Partial sums of A165476.

Original entry on oeis.org

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

Offset: 0

Antti Karttunen, Sep 21 2009

Period 131071. There are no negative values as 131071 is one of the primes in A095102.

See row 12251 in triangle A226518, A000040(12251) = 131071. - Reinhard Zumkeller, Feb 02 2014

A. Karttunen, Table of n, a(n) for n = 0..131071

A165487 gives the squared version. Positions of zeros: A165478. See also A165479. Compare also to A165472, A165482.

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.

A165592 Partial sums of A165591.

Original entry on oeis.org

0, 1, 0, 1, 2, 3, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 4, 3, 2, 1, 2, 1, 0, 1, 0, 1, 2, 3, 2, 1, 0, -1, -2, -1, 0, -1, 0, -1, 0, -1, -2, -1, 0, 1, 2, 3, 2, 1, 2, 3, 2, 1, 0, -1, -2, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -2, -1, -2, -1, 0, -1, -2, -3, -2, -1, -2, -3, -2, -3, -2, -1, -2, -3, -4

Offset: 0

Antti Karttunen, Sep 22 2009

sign

Period 59701.

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

Positions of zeros: A165593. See also A165594, A165595. 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

sign

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.

cp's OEIS Frontend

A165483 Positions of 0's in A165482.

Views

Author

Keywords

Links

Crossrefs

A165484 a(n) = Least i in range [A165483(n),A165483(n+1)] for which abs(A165482(i)) gets the maximum value in that range.

Views

Author

Keywords

Links

Crossrefs

A165485 A maximum absolute value of A165482 in range [A165483(n),A165483(n+1)].

Views

Author

Keywords

Comments

Links

Crossrefs

A165488 Square the terms of A165482 while preserving the signs.

Views

Author

Keywords

Comments

Links

Crossrefs

Extensions

A165472 Partial sums of A165471.

Views

Author

Keywords

Comments

Links

Crossrefs

A165477 Partial sums of A165476.

Views

Author

Keywords

Comments

Links

Crossrefs

A165582 Partial sums of A165581.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

PARI

A165587 Partial sums of A165586.

Views

Author

Keywords

Comments

Links

Crossrefs

A165592 Partial sums of A165591.

Views

Author

Keywords

Comments

Links

Crossrefs

A165597 Partial sums of A165596.

Views

Author

Keywords

Comments

Links

Crossrefs