A374309 Integers m, with k digits, such that m = Sum_{i=1..k} A001065(m without its i-th digit).

17940, 159504, 1180140, 2607408, 3478008, 58039388, 111975864, 169084882, 382009288, 942525448, 2014102784, 4978124388, 7360873684

Offset: 1

Author

Paolo P. Lava, Jul 03 2024

Keywords

• nonn
• base
• more

Crossrefs

Cf. A001065, A372753, A374308, A374368.

Programs

Maple

with(numtheory): P:=proc(q) local a,d,k,i,n,t;
for n from 1 to q do t:=0; a:=convert(n,base,10);
for k from 1 to nops(a) do d:=0; for i from 1 to nops(a) do
if i<> k then d:=d*10+a[-i]; fi; od; t:=sigma(d)-d+t; od;
if n=t then print(n); fi; od; end: P(10^7)

Extensions

a(6)-a(13) by Giovanni Resta, Jul 06 2024