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 1-3 of 3 results.

A366769 Number of distinct prime divisors of A001045(n) (Jacobsthal numbers).

Original entry on oeis.org

0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 4, 1, 2, 3, 3, 1, 4, 1, 4, 3, 3, 1, 6, 3, 2, 3, 5, 2, 6, 1, 4, 4, 2, 4, 8, 2, 2, 3, 6, 2, 6, 1, 6, 5, 3, 2, 9, 2, 6, 5, 6, 2, 6, 4, 7, 4, 5, 3, 11, 1, 2, 5, 6, 5, 8, 2, 6, 4, 8, 2, 12, 2, 4, 6, 6, 5, 7, 1, 8, 6, 4, 5, 12, 3, 4
Offset: 1

Views

Author

Sean A. Irvine, Oct 21 2023

Keywords

Examples

			a(12) = 4 because Jacobsthal(12) = 1365 has prime factors {3, 5, 7, 13}.
		

Crossrefs

Formula

a(n) = omega(Jacobsthal(n)) = A001221(A001045(n)).

A366771 Number of divisors of A001045(n) (Jacobsthal numbers).

Original entry on oeis.org

1, 1, 2, 2, 2, 4, 2, 4, 6, 4, 2, 16, 2, 4, 8, 8, 2, 24, 2, 24, 8, 8, 2, 64, 8, 4, 16, 32, 4, 64, 2, 16, 16, 4, 16, 384, 4, 4, 8, 96, 4, 96, 2, 64, 48, 8, 4, 512, 4, 64, 32, 64, 4, 128, 24, 128, 16, 32, 8, 3072, 2, 4, 48, 64, 32, 256, 4, 64, 16, 256, 4, 6144, 4
Offset: 1

Views

Author

Sean A. Irvine, Oct 21 2023

Keywords

Examples

			a(9) = 6 because Jacobsthal(9) = 171 has divisors {1, 3, 9, 19, 57, 171}.
		

Crossrefs

Formula

a(n) = sigma0(Jacobsthal(n)) = A000005(A001045(n)).

A366772 Sum of the divisors of A001045(n) (Jacobsthal numbers).

Original entry on oeis.org

1, 1, 4, 6, 12, 32, 44, 108, 260, 384, 684, 2688, 2732, 5632, 15936, 27864, 43692, 153920, 174764, 499968, 953920, 1477440, 2796204, 11708928, 12253248, 22380544, 69769600, 115568640, 181990200, 620101632, 715827884, 1826150832, 3880589184, 5726797824
Offset: 1

Views

Author

Sean A. Irvine, Oct 21 2023

Keywords

Examples

			a(9) = 260 because Jacobsthal(9) = 171 has divisors {1, 3, 9, 19, 57, 171}.
		

Crossrefs

Formula

a(n) = sigma(Jacobsthal(n)) = A000203(A001045(n)).
Showing 1-3 of 3 results.