A165578 Partial sums of A011627.

0, 1, 0, 1, 2, 3, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 4, 5, 4, 5, 6, 5, 4, 3, 2, 3, 4, 5, 4, 3, 2, 1, 0, 1, 0, -1, 0, 1, 0, -1, -2, -3, -2, -1, 0, 1, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 4, 5, 6, 5, 6, 7, 8, 7, 8, 7, 6, 5, 6, 5, 6, 7, 6, 5, 4, 5, 6, 5, 6, 5, 6, 7, 8, 9, 8, 9, 8, 7, 6, 5, 4, 5, 4, 3, 4, 5, 4, 5, 4

Offset

0,5

Comments

Period 229.

Links

A. Karttunen, Table of n, a(n) for n = 0..229

Formula

a(n) = -(a(n-1) + a(n-2) + ... + a(n-228)) = a(n-229). - Charles R Greathouse IV, Feb 11 2013

Mathematica

Accumulate[JacobiSymbol[Range[0, 120], 229]] (* Harvey P. Dale, Feb 12 2022 *)

Prog

(PARI) a(n)=sum(k=1, n%229, kronecker(k, 229)) \\ Charles R Greathouse IV, Feb 11 2013

Crossrefs

Similar sequences: A165575-A165579, A165472, A165477, A165482, A165582, A165587, A165592, A165597.

Sequence in context: A189511 A165592 A059285 * A020990 A260686 A037891

Adjacent sequences: A165575 A165576 A165577 * A165579 A165580 A165581

Keyword

sign,easy

Author

Antti Karttunen, Sep 22 2009

Status

approved