id:A166050 - OEIS Search Results

Search: id:A166050

Displaying 1-1 of 1 results found.

page 1

a(n) = Sum_{i=0..(2n+1)} J(i,12n+7), where J(i,k) is the Jacobi symbol.

+0
3

1, -1, 3, -1, 4, -1, 5, -2, 5, -2, 5, -3, 7, -1, 2, -2, 9, -3, 7, -2, 6, -4, 11, -3, 8, -3, 10, -3, 1, -4, 9, -3, 14, -2, 10, -2, 15, -6, 7, 0, 7, -3, 14, -5, 14, -3, 16, -5, 8, -4, 13, -5, 13, -3, 12, -4, 18, -5, 14, -4, 13, -5, 15, -4, 0, -5, 16, -7, 9, -6, 0, -7, 22, -3, 16, -3 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`The height at the 1/6 point of "Jacobi-bridge/path", computed for each odd integer of the form 12n+7.`
	LINKS	`A. Karttunen, Table of n, a(n) for n = 0..131071` `Wikipedia, Jacobi symbol`
	PROGRAM	`(MIT Scheme:) (define (A166050 n) (let ((w (A017605 n))) (add (lambda (i) (jacobi-symbol i w)) 0 (/ (-1+ w) 6))))`
	CROSSREFS	`Bisections: A166268, A166269 (See conjectures there). Cf. A017605. Scheme-code for jacobi-symbol is given at A165601.` `Sequence in context: A087477 A029212 A035687 this_sequence A152040 A013705 A087478` `Adjacent sequences: A166047 A166048 A166049 this_sequence A166051 A166052 A166053`
	KEYWORD	`sign`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Oct 13 2009. Erroneous name corrected Oct 20 2009.`

page 1

Search completed in 0.002 seconds

Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research