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A271988 g_n(7) where g is the weak Goodstein function defined in A266202. 4
7, 12, 19, 27, 37, 49, 63, 69, 75, 81, 87, 93, 99, 105, 111, 116, 121, 126, 131, 136, 141, 146, 151, 156, 161, 166, 171, 176, 181, 186, 191, 195, 199, 203, 207, 211, 215, 219, 223, 227, 231, 235, 239, 243, 247, 251, 255, 259, 263, 267, 271, 275, 279, 283, 287, 291, 295, 299, 303, 307, 311, 315, 319, 322, 325 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

For more info see A266201-A266202.

LINKS

Table of n, a(n) for n=0..64.

EXAMPLE

g_1(7)= b_2(7)-1 = b_2(2^2+2+1)-1 = 3^2+3+1-1 = 12;

g_2(7) = b_3(3^2+3)-1 = 4^2+4-1 = 19;

g_3(7) = b_4(4^2+3)-1 = 5^2+3-1 = 27;

g_4(7) = b_5(5^2+2)-1 = 6^2+2-1 = 37;

g_5(7) = b_6(6^2+1)-1 = 7^2+1-1 = 49;

g_6(7) = b_7(7^2)-1 = 8^2-1 = 63;

g_7(7) = b_8(7*8+7)-1 = 7*9+7-1 = 69;

...

g_2045(7) = 0.

MATHEMATICA

g[k_, n_] := If[k == 0, n, Total@ Flatten@ MapIndexed[#1 (k + 2)^(#2 - 1) &, Reverse@ IntegerDigits[#, k + 1]] &@ g[k - 1, n] - 1]; Table[g[n, 7], {n, 0, 64}]

CROSSREFS

Cf. A271554: G_n(7).

Weak Goodstein sequences: A137411: g_n(11); A265034: g_n(266); A267647: g_n(4); A267648: g_n(5); A271987: g_n(6); A266202: g_n(n); A266203: a(n)=k such that g_k(n)=0;

Sequence in context: A256381 A272975 A190495 * A071247 A025006 A189321

Adjacent sequences:  A271985 A271986 A271987 * A271989 A271990 A271991

KEYWORD

nonn,fini

AUTHOR

Natan Arie Consigli, May 21 2016

STATUS

approved

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Last modified September 20 10:24 EDT 2020. Contains 337264 sequences. (Running on oeis4.)