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Search: id:A096008
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| A096008 |
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Table where n-th row contains all quadratic residues (including zero) mod n. |
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+0
4
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| 0, 0, 1, 0, 1, 0, 1, 0, 1, 4, 0, 1, 3, 4, 0, 1, 2, 4, 0, 1, 4, 0, 1, 4, 7, 0, 1, 4, 5, 6, 9, 0, 1, 3, 4, 5, 9, 0, 1, 4, 9, 0, 1, 3, 4, 9, 10, 12, 0, 1, 2, 4, 7, 8, 9, 11, 0, 1, 4, 6, 9, 10, 0, 1, 4, 9, 0, 1, 2, 4, 8, 9, 13, 15, 16, 0, 1, 4, 7, 9, 10, 13, 16, 0, 1, 4, 5, 6, 7, 9, 11, 16, 17, 0, 1, 4, 5, 9
(list; graph; listen)
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OFFSET
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1,10
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LINKS
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Eric Weisstein's World of Mathematics, Quadratic Residue.
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EXAMPLE
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The table starts:
0
0,1
0,1
0,1
0,1,4
0,1,3,4
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PROGRAM
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(PARI) T(n) = {local(v, r, i, j, k); v=vector(n, i, 0); for(i=0, floor(n/2), v[i^2%n+1]=1); k=sum(i=1, n, v[i]); j=0; r=vector(k); for(i=1, n, if(v[i], j++; r[j]=i-1)); r}
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CROSSREFS
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Cf A046071 (without zeros), A000224 (row lengths), A063987.
Sequence in context: A096793 A155998 A127538 this_sequence A122873 A115715 A115636
Adjacent sequences: A096005 A096006 A096007 this_sequence A096009 A096010 A096011
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KEYWORD
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easy,tabf,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Jul 20 2004
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EXTENSIONS
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Edited by Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 07 2006
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