A162251 Sum of digits of product of previous terms, with a(1) = 2.

2, 2, 4, 7, 4, 16, 22, 34, 31, 34, 49, 70, 67, 61, 85, 88, 76, 70, 94, 106, 76, 133, 139, 133, 157, 187, 193, 187, 202, 196, 220, 196, 202, 214, 229, 232, 301, 259, 247, 304, 346, 304, 337, 358, 355, 358, 328, 376, 409, 412, 445, 466, 472, 466, 445, 475, 481, 520

Offset: 1

Author

Franklin T. Adams-Watters, Jun 28 2009

Keywords

• base
• nonn

Comments

Starting with a(1) = 1 produces the all 1's sequence.

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A065075, A048572, A000012.

Programs

Maple

A[1]:= 2: P:= 2:
for n from 2 to 100 do
  x:= convert(convert(P,base,10),`+`);
  if length(x) > 997 then break fi;
  A[n]:= x;
  P:= P*x;
od:
seq(A[i],i=1..100); # Robert Israel, Jan 16 2025