A194346 -id:A194346 - cp's OEIS frontend

A103560 Decimal expansion of solution to x*13^x = 1.

3, 7, 8, 6, 3, 5, 5, 7, 6, 0, 0, 0, 1, 0, 1, 0, 5, 7, 1, 0, 4, 4, 6, 6, 8, 9, 1, 9, 6, 0, 0, 0, 9, 9, 1, 6, 8, 9, 5, 8, 7, 1, 3, 8, 4, 6, 4, 7, 2, 5, 4, 8, 0, 2, 9, 9, 0, 6, 0, 8, 4, 4, 6, 5, 1, 8, 2, 3, 0, 1, 8, 3, 7, 6, 4, 7, 6, 6, 2, 7, 5, 9, 5, 7, 1, 1, 3, 5, 2, 6, 6, 7, 9, 2, 1, 4, 5, 0, 6, 1, 3, 9, 2, 3, 2

Offset: 0

Zak Seidov, Mar 23 2005

			0.37863557600010105710446689196...

RealDigits[ ProductLog[ Log[13]]/Log[13], 10, 111][[1]] (* Robert G. Wilson v, Mar 23 2005 *)
RealDigits[Fold[N[#2^#1, 128] &, 1/13, Table[1/13, {8250}]], 10, 105][[1]] (* also see A194346, Robert G. Wilson v, Mar 20 2012 *)

solve(x=0,1,x*13^x-1) \\ Charles R Greathouse IV, Mar 21 2012

Decimal expansion of W(log 13)/log 13.

More terms from Robert G. Wilson v, Mar 23 2005

A194347 Decimal expansion of h_e(1/17), where h_e(x) is the even infinite power tower function.

Original entry on oeis.org

5, 6, 0, 5, 9, 6, 4, 8, 5, 3, 1, 6, 4, 9, 8, 2, 1, 1, 1, 7, 6, 1, 0, 8, 5, 7, 0, 3, 7, 8, 4, 7, 0, 7, 7, 2, 3, 0, 1, 0, 9, 9, 8, 3, 1, 5, 2, 3, 1, 2, 2, 8, 4, 0, 7, 4, 4, 4, 4, 2, 4, 4, 7, 2, 0, 2, 3, 1, 9, 2, 2, 7, 5, 7, 2, 2, 9, 1, 6, 8, 6, 3, 5, 7, 4, 0, 0, 5, 0, 0, 2, 8, 2, 1, 7, 4, 8, 7, 5, 8

Offset: 0

Jonathan Sondow, Aug 27 2011

See the Comments, References and Links in A194346.

			0.560596485316498211176108570378470772301099831523122840744442447202319227572291...

Cf. A073229, A073230, A073243, A194346.

a = N[(1/17)^(1/17), 100]; Do[a = (1/17)^(1/17)^a, {3000}]; RealDigits[a, 10, 100] // First

cp's OEIS Frontend

A103560 Decimal expansion of solution to x*13^x = 1.

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