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 1-2 of 2 results.

A144359 Numbers k such that A144264(k) = A144264(k+1).

Original entry on oeis.org

1, 20, 94, 103, 130, 556, 1048, 1330, 1359, 3147, 3599, 5963, 9248, 13855, 24264, 29098, 29099, 30697, 39854, 66568, 83730, 150837, 150936, 300494, 334988, 520570, 594503, 599351, 755245, 1191160, 1301954, 1367359, 1882594, 1922588, 2139916, 3290986, 4588774, 6124282
Offset: 1

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Author

Zak Seidov, Sep 18 2008

Keywords

Comments

Numbers k such that A014085(k) = A014085(k+1) = A014085(k+2).

Crossrefs

Cf. A014085 (Number of primes between n^2 and (n+1)^2), A144264 (Numbers k such that A014085(k) = A014085(k+1)).

Extensions

a(26)-a(31) from Amiram Eldar, Feb 23 2020
a(32)-a(38) from Giovanni Resta, Feb 23 2020

A163161 Values of n at which the sequence A161865/A161867 equals 1/2.

Original entry on oeis.org

5, 9, 14, 30, 44, 47, 64, 67, 72, 89, 99, 124, 125, 194, 198, 200, 208, 213, 214, 249, 267, 270, 320, 333, 372, 373, 374, 393, 455, 460, 475, 519, 586, 603, 643, 701, 704, 712, 770, 774, 789, 814, 825, 828, 836, 891, 906, 930, 941, 970, 974, 982, 983, 988, 1022
Offset: 1

Views

Author

Daniel Tisdale, Jul 21 2009, Jul 24 2009

Keywords

Comments

The corresponding sequence for primes is A144264, and the ratio is given by sequences A161621/A161622.

Programs

  • Mathematica
    t1 = Table[ ((2n+1) - (PrimePi[(n+1)^2] - PrimePi[n^2]))/((4n+4)- (PrimePi[(n+2)^2] - PrimePi[n^2])), {n,1,300}]; t2= Position[t1, 1/2] (* Daniel Tisdale, Jul 24 2009 *)

Extensions

Corrected by the author, Jul 25 2009
Extended beyond 194 by R. J. Mathar, Sep 27 2009
Showing 1-2 of 2 results.