A076072 Largest multiple of n that can be formed by using the digits of the next n numbers, or 0 if no such number exists.

1, 32, 654, 97180, 4321111115, 987622111110, 87654322222222, 9654333333332120, 987544444443333210, 98765555555444443210, 9876666666665555524130, 988777777777776666543120, 99998888888888877654321100

Offset: 1

Author

Amarnath Murthy, Oct 05 2002

Keywords

• base
• nonn

Comments

Conjecture: No entry is zero. (At least one multiple of n can be formed by using the digits of the next n numbers.)

"Next n numbers" means {1+n(n-1)/2,...,n(n+1)/2}. - M. F. Hasler, Jul 22 2011

Crossrefs

Cf. A076070, A076071, A076073, A080480, A192392.

Programs

PARI

precperm(p)={ my(t); forstep(i=#p-1,1,-1, p[i]>p[i+1] && for( j=1, #t=vecsort(vecextract(p,2^#p-2^(i-1)),,4), t[j]A076072(n)={ my(d=vecsort(Vec(concat(vector(n,i,Str(i+n*(n-1)/2)))),,4)); for( i=1, (#d)!, eval(concat(d))%n || break; d=precperm(d)); eval(concat(d))}  \\ M. F. Hasler, Jul 24 2011

Extensions

More terms from David Wasserman, Mar 23 2005