A165472 -id:A165472 - cp's OEIS frontend

A165473 Positions of zeros in A165472.

0, 6, 8, 10, 16, 24, 28, 30, 32, 46, 50, 52, 54, 56, 72, 74, 76, 78, 80, 82, 84, 288, 292, 294, 300, 302, 360, 364, 370, 372, 374, 376, 378, 382, 394, 400, 402, 416, 418, 420, 422, 424, 426, 808, 810, 818, 820, 1252, 1318, 1320, 1334, 1340, 1342, 1434, 1840

Offset: 0

Antti Karttunen, Sep 21 2009

nonn

A. Karttunen, Table of n, a(n) for n = 0..612

See also A165474, A165475. Compare also to A165478, A165483.

A165474 a(n) = Least i in range [A165473(n),A165473(n+1)] for which abs(A165472(i)) gets the maximum value in that range.

Original entry on oeis.org

2, 7, 9, 12, 19, 26, 29, 31, 38, 48, 51, 53, 55, 63, 73, 75, 77, 79, 81, 83, 188, 290, 293, 297, 301, 325, 362, 367, 371, 373, 375, 377, 380, 385, 397, 401, 409, 417, 419, 421, 423, 425, 650, 809, 813, 819, 964, 1271, 1319, 1324, 1337, 1341, 1371, 1604, 1842

Offset: 0

Antti Karttunen, Sep 21 2009

nonn

A. Karttunen, Table of n, a(n) for n = 0..612

A165475 gives the corresponding maximum values.

A165475 A maximum absolute value of A165472 in range [A165473(n),A165473(n+1)].

Original entry on oeis.org

2, -1, 1, -2, 3, 2, -1, -1, 6, -2, -1, 1, 1, -5, -1, -1, 1, 1, 1, -1, -16, 2, 1, 3, 1, 9, 2, 3, -1, 1, 1, -1, -2, -3, -3, -1, -5, 1, 1, 1, -1, 1, 16, 1, 3, -1, 22, 11, 1, -4, -3, -1, 7, -26, -2, -2, -2, 1, -4, 21, 1, -1, 1, 6, -1, -3, -12, 2, -4, 4, -2, -1, 2, -1, 5, -7, 1, -2, -1

Offset: 0

Antti Karttunen, Sep 21 2009

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Period 611.

A. Karttunen, Table of n, a(n) for n = 0..612

a(n) = A165472(A165474(n)).

A165486 Squared version of A165472.

Original entry on oeis.org

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

Offset: 0

Antti Karttunen, Sep 21 2009

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Period 65537.

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

Cf. A165487, A165488.

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.

A165482 Partial sums of A165481.

Original entry on oeis.org

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

Offset: 0

Antti Karttunen, Sep 21 2009

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Period 28657.

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

A165488 gives the squared version. Positions of zeros: A165483. See also A165484, A165485. Compare also to A165472, A165477.

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

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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

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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

A165473 Positions of zeros in A165472.

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A165474 a(n) = Least i in range [A165473(n),A165473(n+1)] for which abs(A165472(i)) gets the maximum value in that range.

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A165475 A maximum absolute value of A165472 in range [A165473(n),A165473(n+1)].

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A165486 Squared version of A165472.

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A165477 Partial sums of A165476.

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A165482 Partial sums of A165481.

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A165582 Partial sums of A165581.

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A165587 Partial sums of A165586.

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A165592 Partial sums of A165591.

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A165597 Partial sums of A165596.

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