A384481 Smallest value of f(1) for a function f(x) = b*x+c with nonnegative integer coefficients and a shortest addition-composition chain of length n, starting with 1 and x.

1, 2, 3, 4, 6, 8, 13, 24, 46, 98

Offset: 0

Author

Pontus von Brömssen, Jun 02 2025

Keywords

• nonn
• more

Comments

See A384480 for details.

Examples

			  n | functions b*x+c with b+c = a(n) and shortest chain of length n
  --+---------------------------------------------------------------
  0 | 1, x
  1 | 2, x+1, 2*x
  2 | 3, x+2, 2*x+1, 3*x
  3 | 3+x, x+3
  4 | 5+x, x+5
  5 | 7+x, x+7
  6 | 11*x+2
  7 | 23*x+1
  8 | 7*x+39, 43*x+3
  9 | 11*x+87
		

Crossrefs

Cf. A383332 (addition only), A384480, A384482, A384484.