The On-Line Encyclopedia of Integer Sequences (OEIS)

A344996 revision #3

A344996

a(n) = A048250(n) * A051709(n).

0, 0, 0, 3, 0, 24, 0, 9, 4, 36, 0, 96, 0, 48, 48, 21, 0, 108, 0, 180, 64, 72, 0, 240, 6, 84, 16, 288, 0, 1440, 0, 45, 96, 108, 96, 372, 0, 120, 112, 468, 0, 2304, 0, 576, 288, 144, 0, 528, 8, 234, 144, 756, 0, 360, 144, 768, 160, 180, 0, 4608, 0, 192, 448, 93, 168, 4608, 0, 1188, 192, 4032, 0, 900, 0, 228, 336, 1440, 192

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OFFSET

1,4

LINKS

Table of n, a(n) for n=1..77.

FORMULA

a(n) = A048250(n) * A051709(n).

a(n) = -[Sum_{d|n} mu(d)^2*d] * [Sum_{d|n, d<n} A008683(n/d)*A001065(d)].

a(n) = -Product(p_i + 1) * [Sum_{d|n, d<n} A008683(n/d)*A001065(d)], where p_i are distinct primes dividing n.

PROG

(PARI)

A048250(n) = factorback(apply(p -> p+1, factor(n)[, 1]));