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A323895 Dirichlet inverse of binary Gray code, A003188. 2
1, -3, -2, 3, -7, 7, -4, -3, -9, 27, -14, -10, -11, 15, 20, 3, -25, 35, -26, -45, -15, 55, -28, 13, 28, 43, 22, -24, -19, -91, -16, -3, 7, 99, 6, -58, -55, 103, -8, 63, -61, 55, -62, -94, 71, 111, -56, -16, -25, -148, 58, -73, -47, -107, 152, 33, 67, 75, -38, 196, -35, 63, 148, 3, 57, -53, -98, -171, 9, -59, -100, 78, -109, 219, -208, -178, 5, 13 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16383

PROG

(PARI)

up_to = 65537;

DirInverse(v) = { my(u=vector(#v)); u[1] = (1/v[1]); for(n=2, #v, u[n] = -sumdiv(n, d, if(d<n, v[n/d]*u[d], 0))); (u) }; \\ Compute the Dirichlet inverse of the sequence given in input vector v.

A003188(n) = bitxor(n, n>>1);

v323895 = DirInverse(vector(up_to, n, A003188(n)));

A323895(n) = v323895[n];

CROSSREFS

Cf. A003188, A323896.

Sequence in context: A141863 A071010 A215934 * A274508 A227104 A171721

Adjacent sequences:  A323892 A323893 A323894 * A323896 A323897 A323898

KEYWORD

sign

AUTHOR

Antti Karttunen, Feb 08 2019

STATUS

approved

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Last modified January 24 13:24 EST 2020. Contains 331193 sequences. (Running on oeis4.)