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.

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A053568 Totients of nontotient numbers.

Original entry on oeis.org

2, 4, 6, 6, 10, 12, 6, 8, 16, 18, 12, 22, 20, 12, 18, 28, 30, 20, 16, 24, 36, 18, 24, 40, 42, 24, 46, 42, 20, 32, 52, 40, 36, 58, 60, 30, 36, 48, 66, 32, 44, 70, 72, 36, 40, 36, 60, 78, 54, 82, 64, 42, 56, 88, 24, 72, 60, 46, 72, 96, 42, 60, 100, 102, 48, 106
Offset: 1

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Author

Labos Elemer, Jan 17 2000

Keywords

Comments

See comment at analogous sequence A053474.

Examples

			If k = 19 then there is no number x such that phi(x) = k exists; however, phi(19) = 18.
k = 27 is also a nontotient number whose totient is 18.
		

Crossrefs

Programs

  • PARI
    lista(nn) = for (n=1, nn, if (!istotient(n), print1(eulerphi(n), ", "))); \\ Michel Marcus, Nov 20 2017

Formula

a(n) = A000010(A007617(n)).

A053569 Sum of divisors of numbers which cannot be sum of divisors of any number.

Original entry on oeis.org

3, 6, 13, 18, 12, 31, 18, 20, 32, 36, 24, 31, 42, 40, 30, 48, 54, 48, 38, 42, 44, 78, 72, 48, 57, 93, 72, 98, 54, 72, 90, 60, 62, 127, 84, 144, 68, 96, 144, 72, 74, 124, 140, 96, 80, 121, 126, 84, 108, 132, 120, 180, 90, 168, 144, 120, 98, 156, 217, 102, 104, 192, 162
Offset: 1

Views

Author

Labos Elemer, Jan 17 2000

Keywords

Comments

See also comments in A053474.

Examples

			The 13th non-sigma number is 26. Its divisors are {26,13,2,1} of which the sum is 42. So a(13) = 42.
Also a(20) = 42, the divisor sum of 20th term in A007369, which is 41.
		

Crossrefs

Formula

a(n) = A000203(A007369(n)).
Showing 1-2 of 2 results.