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.

A139027 This is to A139026 as A139026 to A139025, see A139025 for details.

Original entry on oeis.org

1292, 3865, 4666, 8973, 13936, 50339, 57266, 67597, 72316, 85343, 110934, 132941, 147990, 220203, 226652, 270239, 272950, 313361, 366186, 375253, 392090, 409619, 412024, 415237, 469982, 511263, 556808, 635279, 640716, 654559, 711018, 721629
Offset: 1

Views

Author

Zak Seidov, Apr 07 2008

Keywords

Comments

Notice that a(n)-n is always prime by definition, e.g.,
a(1) - 1 = 1291, a(2) - 2 = 3863, a(3) - 3 = 4663, a(4) - 4 = 8969, etc.

Crossrefs

Cf. A000027, A014688, A061068, A139025, A139026, A139028, A139029.

A139028 This is to A139027 as A139027 to A139026, see A139025 for details.

Original entry on oeis.org

270240, 375255, 635282, 1000695, 2039428, 2602013, 3398274, 3748771, 4300120, 4889577, 5643252, 6595775, 8684760, 12489373, 12758734, 15186995, 15557178, 17151151, 17988320, 18564859, 19878764, 20317745, 21560274, 22466983
Offset: 1

Views

Author

Zak Seidov, Apr 07 2008

Keywords

Comments

Notice that a(n)-n is always prime by definition, e.g.,
a(1) - 1 = 270239, a(2) - 2 = 375253, a(3) - 3 = 635279, a(4) - 4 = 1000691, etc.

Crossrefs

Cf. A000027, A014688, A061068, A139025, A139026, A139027, A139029.

A139025 This is to A014688 as A014688 to A000027, see comments for definition.

Original entry on oeis.org

4, 7, 14, 23, 84, 107, 120, 135, 172, 183, 234, 283, 396, 433, 446, 519, 588, 617, 638, 661, 680, 695, 706, 725, 758, 783, 854, 891, 1000, 1043, 1064, 1119, 1226, 1283, 1458, 1469, 1490, 1521, 1618, 1661, 1708, 1765, 2046, 2157, 2224, 2333, 2428, 2507, 2516
Offset: 1

Views

Author

Zak Seidov, Apr 07 2008

Keywords

Comments

Take some initial sequence s1 = a(1), a(2),...
then for new sequence s2 = b(1), b(2),.. we define
b(n) = n + (n-th prime in s1).
If s1 = A000027 then we clearly get A014688.
If s1 = A014688 = 3,5,8,11,16,19,24,27,32,39,42,49,54,57,62,69,76,79,86,91,94
then b(1) = 1 + 3 (because 3 is the first prime in s1)
b(2) = 2 + 5 (because 5 is the 2nd prime in s1)
b(3) = 3 + 11 (because 11 is the 3rd prime in s1)
b(4) = 4 + 19 (because 19 is the 4th prime in s1)
b(5) = 5 + 79 (because 79 is the 5th prime in s1),
resulting sequence is A139025
Repeating the same procedure we have next sequences:
A139026: 8,25,110,287,438,623,668,1291,2342,2813,3790,3863,4230,4663,4828,6377,7468
A139027: 1292,3865,4666,8973,13936,50339,57266,67597,72316,85343,110934,132941,147990
A139028:270240,375255,635282,1000695,2039428,2602013,3398274,3748771,4300120
A139029:43448724,59672019,102128690,113904945,145135734,169755139

Crossrefs

Cf. A000027, A014688, A061068, A139026-A139029.

Formula

A139025(n)=n+A061068(n)

A139029 This is to A139028 as A139028 to A139027, see A139025 for details.

Original entry on oeis.org

43448724, 59672019, 102128690, 113904945, 145135734, 169755139
Offset: 1

Views

Author

Zak Seidov, Apr 07 2008

Keywords

Comments

Notice that a(n)-n is always prime by definition, e.g.,
a(1) - 1 = 43448723, a(2) - 2 = 59672017, a(3) - 3 = 102128687, a(4) - 4 = 113904941, etc.

Crossrefs

Cf. A000027, A014688, A061068, A139025, A139026, A139027, A139028.
Showing 1-4 of 4 results.

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