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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.
2

%I #14 Nov 20 2018 05:17:44

%S 4,24,264,14256,456192,26459136,635019264,153039642624,93507221643264,

%T 23470312632459264,20372231364974641152,155664219859771233042432,

%U 720258345291161495287332864,592052359829334749126187614208

%N 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.

%o (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:

%o print1(a=A077700(1)); for(n=2, 10, print1(", "a=A077700(2, a))) \\ _M. F. Hasler_, Nov 18 2018

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

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

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, Nov 18 2002

%E More terms from _Ray Chandler_, Jul 25 2003

%E Name edited by _M. F. Hasler_, Nov 18 2018