A318325 -id:A318325 - OEIS

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A051953

Cototient(n) := n - phi(n).

+10
299

0, 1, 1, 2, 1, 4, 1, 4, 3, 6, 1, 8, 1, 8, 7, 8, 1, 12, 1, 12, 9, 12, 1, 16, 5, 14, 9, 16, 1, 22, 1, 16, 13, 18, 11, 24, 1, 20, 15, 24, 1, 30, 1, 24, 21, 24, 1, 32, 7, 30, 19, 28, 1, 36, 15, 32, 21, 30, 1, 44, 1, 32, 27, 32, 17, 46, 1, 36, 25, 46, 1, 48, 1, 38, 35, 40, 17, 54, 1, 48, 27

(list; graph; refs; listen; history; text; internal format)

A318320

a(n) = (psi(n) - phi(n))/2.

+10
6

0, 1, 1, 2, 1, 5, 1, 4, 3, 7, 1, 10, 1, 9, 8, 8, 1, 15, 1, 14, 10, 13, 1, 20, 5, 15, 9, 18, 1, 32, 1, 16, 14, 19, 12, 30, 1, 21, 16, 28, 1, 42, 1, 26, 24, 25, 1, 40, 7, 35, 20, 30, 1, 45, 16, 36, 22, 31, 1, 64, 1, 33, 30, 32, 18, 62, 1, 38, 26, 60, 1, 60, 1, 39, 40, 42, 18, 72, 1, 56, 27, 43, 1, 84, 22, 45, 32, 52, 1, 96

(list; graph; refs; listen; history; text; internal format)

A318326

a(n) = Sum_{d|n} [moebius(n/d) < 0]*(sigma(d)-d).

+10
6

0, 0, 0, 1, 0, 2, 0, 3, 1, 2, 0, 9, 0, 2, 2, 7, 0, 10, 0, 11, 2, 2, 0, 23, 1, 2, 4, 13, 0, 23, 0, 15, 2, 2, 2, 37, 0, 2, 2, 29, 0, 27, 0, 17, 13, 2, 0, 51, 1, 14, 2, 19, 0, 34, 2, 35, 2, 2, 0, 81, 0, 2, 15, 31, 2, 35, 0, 23, 2, 31, 0, 91, 0, 2, 15, 25, 2, 39, 0, 65, 13, 2, 0, 99, 2, 2, 2, 47, 0, 97, 2, 29, 2, 2, 2, 107, 0, 18, 19, 65, 0, 47

(list; graph; refs; listen; history; text; internal format)

A318442

a(n) = Sum_{d|n} [moebius(n/d) < 0]*A033879(d).

+10
6

0, 1, 1, 1, 1, 3, 1, 1, 2, 5, 1, 1, 1, 7, 6, 1, 1, 5, 1, 3, 8, 11, 1, -3, 4, 13, 5, 5, 1, 9, 1, 1, 12, 17, 10, -7, 1, 19, 14, -1, 1, 15, 1, 9, 11, 23, 1, -11, 6, 21, 18, 11, 1, 11, 14, 1, 20, 29, 1, -17, 1, 31, 15, 1, 16, 27, 1, 15, 24, 29, 1, -31, 1, 37, 25, 17, 16, 33, 1, -9, 14, 41, 1, -15, 20, 43, 30, 5, 1, -1, 18, 21, 32, 47, 22, -27, 1

(list; graph; refs; listen; history; text; internal format)

A318441

a(n) = Sum_{d|n} [moebius(n/d) > 0]*A033879(d).

+10
5

1, 1, 2, 1, 4, 1, 6, 1, 5, 3, 10, -3, 12, 5, 7, 1, 16, -1, 18, -1, 11, 9, 22, -11, 19, 11, 14, 1, 28, -5, 30, 1, 19, 15, 23, -19, 36, 17, 23, -9, 40, -3, 42, 5, 14, 21, 46, -27, 41, 11, 31, 7, 52, -7, 39, -7, 35, 27, 58, -45, 60, 29, 24, 1, 47, 1, 66, 11, 43, 7, 70, -55, 72, 35, 30, 13, 59, 3, 78, -25, 41, 39, 82, -51, 63, 41, 55, -3, 88

(list; graph; refs; listen; history; text; internal format)

A318501

a(n) = SumXOR_{d|n} [moebius(n/d) > 0]*(sigma(d)-d).

+10
3

0, 1, 1, 3, 1, 6, 1, 7, 4, 8, 1, 17, 1, 10, 9, 15, 1, 20, 1, 23, 11, 14, 1, 39, 6, 16, 13, 29, 1, 43, 1, 31, 15, 20, 13, 49, 1, 22, 17, 49, 1, 55, 1, 41, 32, 26, 1, 75, 8, 42, 21, 47, 1, 70, 17, 67, 23, 32, 1, 97, 1, 34, 40, 63, 19, 79, 1, 59, 27, 75, 1, 107, 1, 40, 48, 65, 19, 91, 1, 109, 40, 44, 1, 131, 23, 46, 33, 95, 1, 155, 21

(list; graph; refs; listen; history; text; internal format)

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