A077700 a(1) = 4; a(n) is the smallest multiple of a(n-1) that contains all the digits of a(n-1) and is not a multiple of 10.

4, 24, 264, 14256, 456192, 26459136, 635019264, 153039642624, 93507221643264, 23470312632459264, 20372231364974641152, 155664219859771233042432, 720258345291161495287332864, 592052359829334749126187614208

Offset

1,1

Links

Table of n, a(n) for n=1..14.

Prog

(PARI) A077700(n, a=4)={my(c(n, c=vector(10))=for(i=1, #n=digits(n), c[n[i]+1]++); c); for(i=2, n, my(cc=c(a)); for(k=2, oo, k%5 && vecmin(c(k*a)-cc)>=0 && (a*=k) && break)); a} \\ n=2 and optional 2nd arg as starting value yields next term:
print1(a=A077700(1)); for(n=2, 10, print1(", "a=A077700(2, a))) \\ M. F. Hasler, Nov 18 2018

Crossrefs

Cf. A077701 (the ratios a(n+1)/a(n)).

Cf. A077696, A077698 (analog for initial term 2 resp. 3).

Sequence in context: A141014 A340023 A192983 * A080489 A101228 A009104

Adjacent sequences: A077697 A077698 A077699 * A077701 A077702 A077703

Keyword

base,nonn

Author

Amarnath Murthy, Nov 18 2002

Extensions

More terms from Ray Chandler, Jul 25 2003

Name edited by M. F. Hasler, Nov 18 2018

Status

approved