A083796 Triangle read by rows in which the n-th row contains n lexicographically earliest distinct numbers such that the sum of the (n-1) terms other than the r-th term is divisible by r.

1, 2, 1, 1, 2, 3, 1, 2, 5, 6, 1, 2, 3, 4, 14, 1, 2, 3, 4, 8, 30, 1, 2, 3, 4, 5, 6, 39, 1, 2, 3, 4, 5, 6, 11, 28, 1, 2, 3, 4, 5, 6, 7, 8, 804, 1, 2, 3, 4, 5, 6, 7, 8, 24, 1620, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2465, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 17, 15048, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Offset

1,2

Comments

See A101085 for more information.

Links

Table of n, a(n) for n=1..88.

Example

The triangle begins:
1
2 1
1 2 3
1 2 5 6
1 2 3 4 14
1 2 3 4 8 30
1 2 3 4 5 6 39
1 2 3 4 5 6 11 28
1 2 3 4 5 6 7 8 804
1 2 3 4 5 6 7 8 24 1620
1 2 3 4 5 6 7 8 9 10 2465
1 2 3 4 5 6 7 8 9 10 17 15048

Prog

(PARI) { A083796row(n) = my(r, s, t, m); r=vector(n); s=Mod(0, 1); for(i=1, n-1, m=gcd(s.mod, i); t=lift(s)%m; while( setsearch(Set(r), t) || (i==n-1 && Mod(sum(j=1, n-2, r[j])+t, n)), t+=m ); r[i]=t; s=chinese(s, Mod(t, i)); ); t=lift(s)-sum(j=1, n-1, r[j]); while( t<=0 || setsearch(Set(r), t), t+=s.mod ); r[n]=t; r; } /* Max Alekseyev, Nov 04 2015 */

Crossrefs

Cf. A083797, A083798, A083799, A101085.

Sequence in context: A070990 A097868 A025830 * A037039 A333856 A182972

Adjacent sequences: A083793 A083794 A083795 * A083797 A083798 A083799

Keyword

nonn,tabl

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 08 2003

Extensions

Edited by Gareth McCaughan (gareth.mccaughan(AT)pobox.com), Jun 10 2004

Status

approved