A268688 a(n) = (A266203(n)-1)/2 if n>0, and a(0) = 0.

0, 0, 1, 2, 10, 30, 190, 1022

Offset

0,4

Comments

The maximum values of k where g_k(n) is the maximal value.

g_k(n) is the weak Goodstein function defined in A266202.

Next term: 3*2^402653210-1.

Links

Table of n, a(n) for n=0..7.

Example

g_1(4) = b_2(4)-1 = b_2(2^2)-1 = 3^2-1 = 8;
g_2(4) = b_3(2*3+2)-1 = 2*4 + 2-1 = 9;
g_3(4) = b_4(2*4 + 1 ) -1 = 2*5 + 1-1 = 10;
g_4(4) = b_5(2*5) -1= 2*6 - 1 = 11;
g_5(4) = b_6(6+5)-1 = 7+5-1 = 11;
g_6(4) = b_7(7+4)-1 = 8+4-1 = 11;
g_7(4) = b_8(8+3)-1 = 9+3-1 = 11;
g_8(4) = b_9(9+2)-1 = 10+2-1 = 11;
g_9(4) = b_10(10+1)-1 = 11+1-1 = 11;
g_10(4) = b_11(11)-1 = 12-1 = 11;
g_11(4) = b_12(11)-1 = 11-1 = 10;
g_12(4) = b_13(10)-1 = 10-1 = 9;
g_13(4) = b_14(9)-1 = 9-1 = 8;
…
g_21(4) = 0;
So a(4) = 10.

Crossrefs

Cf. A266203, A268687, A268689.

Sequence in context: A192381 A162249 A371484 * A281069 A156492 A297467

Adjacent sequences: A268685 A268686 A268687 * A268689 A268690 A268691

Keyword

nonn

Author

Natan Arie Consigli, Apr 02 2016

Status

approved