A319746 Quasi-Repfigit numbers (or Quasi-Keith numbers).

12, 18, 32, 35, 43, 59, 142, 187, 241, 265, 610, 778, 1521, 2163, 2625, 3267, 3729, 9242, 15905, 16725, 18852, 56207, 63265, 87538, 94596, 333718, 780890, 839383, 959394, 1114534, 1745662, 2198585, 2424613, 2815415, 5501438, 7371962, 9717796, 21010738, 27800086, 31173396

Offset: 1

Author

Paolo P. Lava, Sep 27 2018

Keywords

• nonn
• base

Comments

Numbers n>9 with following property: form a sequence b(i) whose initial terms are the t digits of n, later terms given by rule that b(i) = sum of t previous terms; then n - 1 or n + 1 appears in the sequence.

Examples

			a(1) = 12 because 1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8, 5 + 8 = 13 = 12 + 1.
a(2) = 18 because 1 + 8 = 9, 8 + 9 = 17 = 18 - 1.
		

Crossrefs

Cf. A007629, A130010.

Programs

Maple

P:=proc(q) local b, k,n,v; for n from 1 to q do b:=ilog10(n)+1;
if b>1 then v:=[]; for k from 1 to b do
v:=[op(v),trunc(n/10^(b-k)) mod 10]; od; v:=[op(v),add(v[k],k=1..b)];
while v[nops(v)]