A349400 Dirichlet inverse of EKG-permutation, A064413.

1, -2, -4, -2, -3, 7, -12, 8, 6, 7, -15, 18, -14, 41, 3, -12, -16, -4, -22, 9, 63, 33, -30, -49, -26, 28, -10, 15, -39, -2, -32, 6, 103, 13, 30, -69, -19, 31, 67, -68, -44, -218, -23, 39, 36, 70, -52, 38, 88, 67, 65, 52, -55, -21, 20, -294, 147, 69, -66, -52, -31, 35, -144, 48, 16, -240, -37, 93, 165, -180, -76, 78

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..20000

Index entries for sequences related to EKG sequence

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A064413(n/d) * a(d).

Prog

(PARI)
v064413 = readvec("b064413_to.txt"); \\ Data prepared with Chai Wah Wu's Dec 08 2014 Python-program given in A064413.
A064413(n) = v064413[n];
memoA349400 = Map();
A349400(n) = if(1==n, 1, my(v); if(mapisdefined(memoA349400, n, &v), v, v = -sumdiv(n, d, if(d<n, A064413(n/d)*A349400(d), 0)); mapput(memoA349400, n, v); (v)));

Crossrefs

Cf. A064413, A323411, A349614.

Sequence in context: A151849 A360373 A141387 * A335678 A368434 A134400

Adjacent sequences: A349397 A349398 A349399 * A349401 A349402 A349403

Keyword

sign

Author

Antti Karttunen, Nov 19 2021

Status

approved