cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-4 of 4 results.

A165607 a(n) = (A165608(n)-3)/4.

Original entry on oeis.org

2, 6, 8, 14, 15, 18, 20, 25, 32, 33, 42, 43, 60, 62, 69, 73, 74, 79, 85, 87, 90, 92, 93, 98, 103, 104, 123, 134, 140, 141, 143, 151, 158, 164, 168, 175, 177, 182, 183, 188, 195, 216, 218, 223, 224, 225, 231, 235, 242, 249, 265, 266, 272, 275, 281, 283, 284, 285
Offset: 1

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Author

Antti Karttunen, Oct 06 2009

Keywords

Crossrefs

Set-wise difference of A095274 and A165468.

A165603 Numbers of the form 4n+3 for which Sum_{i=0..(2n+1)} J(i,4n+3) = 0, where J(i,m) is the Jacobi symbol.

Original entry on oeis.org

99, 147, 207, 275, 315, 423, 475, 507, 531, 639, 747, 775, 847, 855, 891, 931, 963, 975, 1071, 1083, 1179, 1275, 1287, 1323, 1395, 1475, 1503, 1519, 1611, 1719, 1775, 1827, 1863, 1935, 1975, 2043, 2151, 2259, 2275, 2299, 2303, 2367, 2475, 2583
Offset: 0

Views

Author

Antti Karttunen, Oct 06 2009

Keywords

Comments

Integers of type 4n+3 whose midpoint height of Jacobi-bridge (A165601) is zero.

Links

Crossrefs

a(n) = A004767(A165602(n)). Cf. A165463, A165603, A165608.

A165469 Numbers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) is never zero for any u in range [1,(2n+1)], where J(i,m) is the Jacobi symbol.

Original entry on oeis.org

3, 7, 15, 23, 31, 39, 47, 55, 71, 79, 87, 95, 111, 119, 143, 151, 159, 167, 183, 191, 199, 215, 231, 239, 255, 263, 271, 287, 303, 311, 327, 335, 359, 383, 391, 399, 407, 431, 439, 447, 455, 471, 479, 503, 511, 519, 527, 535, 551, 559, 591, 599, 615, 623
Offset: 1

Views

Author

Antti Karttunen, Oct 06 2009

Keywords

Crossrefs

a(n) = A004767(A165468(n)). Setwise difference of A095100 and A165608. A165580 gives the primes in this sequence.

A165977 Primes of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) is never negative for any u in range [1,2n+1], but obtains at least one value zero, where J(i,m) is the Jacobi symbol.

Original entry on oeis.org

11, 59, 83, 103, 131, 251, 419, 563, 607, 659, 971, 1063, 1091, 1103, 1427, 1447, 1811, 1931, 1979, 2287, 2383, 2411, 2543, 2939, 3251, 3299, 3659, 3779, 3967, 4091, 4259, 4931, 5099, 5171, 5407, 5783, 5939, 6247, 6299, 6607, 6779, 6899
Offset: 1

Views

Author

Antti Karttunen, Oct 06 2009

Keywords

Comments

Setwise difference of A095102 and A165580.

Crossrefs

Subset of A165608.

Extensions

Definition edited by Jonathan Sondow, Sep 26 2011
Showing 1-4 of 4 results.

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