A379494 -id:A379494 - cp's OEIS frontend

A379493 a(n) = A276086(A001065(n)), where A276086 is the primorial base exp-function, and A001065 is the sum of proper divisors of n.

1, 2, 2, 6, 2, 5, 2, 10, 9, 15, 2, 225, 2, 45, 30, 150, 2, 750, 2, 1125, 90, 75, 2, 35, 5, 225, 50, 5625, 2, 175, 2, 14, 150, 375, 50, 8750, 2, 1125, 450, 2625, 2, 4375, 2, 315, 42, 1875, 2, 11025, 15, 350, 750, 1575, 2, 245, 450, 441, 2250, 21, 2, 42875, 2, 63, 630, 294, 250, 6125, 2, 39375, 3750, 3675, 2, 14406

Offset: 1

Antti Karttunen, Jan 05 2025

nonn

Cf. A001065, A276086, A379494.

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A379493(n) = A276086(sigma(n)-n);

A379498 a(n) = A276086(1+n) - A276086(A001065(n)), where A276086 is the primorial base exp-function, and A001065 is the sum of proper divisors of n.

Original entry on oeis.org

2, 4, 7, 12, 3, 5, 13, 20, 36, 75, 23, -175, 73, 105, 195, 300, 123, -500, 373, -375, 1035, 2175, 623, 1215, 1870, 3525, 5575, 5625, 5, -161, 19, 28, -87, -249, -15, -8680, 103, -915, -135, -1995, 173, -4025, 523, 735, 1533, 1275, 873, -9275, 2610, 4900, 7125, 14175, 4373, 8505, 12675, 25809, 37125, 78729, 47

Offset: 1

Antti Karttunen, Jan 05 2025

sign

Cf. A001065, A276086, A379493, A379494.

Cf. also A379496.

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A379498(n) = (A276086(1+n) - A276086(sigma(n)-n));

a(n) = A276086(1+n) - A379493(n).

For even n, a(n) = A379494(n).

cp's OEIS Frontend

A379493 a(n) = A276086(A001065(n)), where A276086 is the primorial base exp-function, and A001065 is the sum of proper divisors of n.

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