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A268688 a(n) = (A266203(n)-1)/2 if n>0, and a(0) = 0. 3
0, 0, 1, 2, 10, 30, 190, 1022 (list; graph; refs; listen; history; text; internal format)
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: A219667 A192381 A162249 * A281069 A156492 A297467

Adjacent sequences:  A268685 A268686 A268687 * A268689 A268690 A268691

KEYWORD

nonn

AUTHOR

Natan Arie Consigli, Apr 02 2016

STATUS

approved

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Last modified September 20 10:04 EDT 2020. Contains 337264 sequences. (Running on oeis4.)