0,2

For numbers m=n+2^n such that equation x=2^(m-x) has solution x=2^n, see A103354. - Zak Seidov (zakseidov(AT)yahoo.com), Mar 23 2005

Primes of the form x^x+1 must be of the form 2^2^(a(n))+1, that is, Fermat number F_(a(n)) (Sierpinski 1958). - David W. Wilson (davidwwilson(AT)comcast.net), May 08 2005

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

John H. Conway, R. K. Guy, The Book of Numbers, Copernicus Press, p. 84.

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 435

Eric Weisstein's World of Mathematics, Sierpinski Number of the First Kind

Row sums of triangle A135227. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 23 2007

Partial sums of A094373. G.f. : (1-x-x^2)/((1-x)^2(1-2x)) - Paul Barry (pbarry(AT)wit.ie), Aug 05 2004

Binomial transform of [1,2,1,1,1,1,1,...]. - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 29 2006

A006127:=(-1+z+z**2)/(2*z-1)/(z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]

Cf. A135227.

Sequence in context: A125896 A094989 A052467 this_sequence A122106 A007707 A018174

Adjacent sequences: A006124 A006125 A006126 this_sequence A006128 A006129 A006130

nonn

njas