A381697 Zeroless integers of the form 10*k+1 such that the 9 integers 10*k+1..10*k+9 all belong to A381631.

1, 1587474651, 1865775531, 2223331131, 2735465781, 2758657521, 2955787311, 3437557341, 3558772551, 3575611851, 3825477561, 4339513471, 5216934211, 5228577831, 5773583721, 7358739151, 7547751831, 7733285751, 9553837341, 11745456771, 11765169751, 12646455871

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Prog

(PARI) isOne(k) = my(d=digits(k)); ((k*vecprod(d)) % vecsum(d)) == 0; \\ A381631
chk(nn) = for (i=0, nn, my(x=10*i+1, d=digits(x)); if (vecmin(d), my(ok=1); for (j=0, 8, if (!isOne(x+j), ok=0; break); ); if (ok, print1(x, ", ")); ); );

Crossrefs

Cf. A052382 (zeroless integers), A381631.

Sequence in context: A384535 A166383 A227444 * A384933 A329463 A246250

Adjacent sequences: A381694 A381695 A381696 * A381698 A381699 A381700

Keyword

nonn,base

Author

Michel Marcus, Mar 04 2025

Extensions

a(20)-a(22) from Jinyuan Wang, Mar 05 2025

Status

approved