0,2

Number of permutations of length n which avoid the patterns 132, 4312. - Lara Pudwell (Lara.Pudwell(AT)valpo.edu), Jan 21 2006

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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.

R. K. Guy, The second strong law of small numbers. Math. Mag. 63 (1990), no. 1, 3-20.

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.

Lara Pudwell, Systematic Studies in Pattern Avoidance, 2005.

Main diagonal of the array defined by T(0, j)=j+1 j>=0, T(i, 0)=i+1 i>=0, T(i, j)=T(i-1, j-1)+T(i-1, j)-1 - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 17 2003

G.f.: A(x) = -{x(3x^2-3x+1)}/{(x-1)(2x-1)^2} - Lara Pudwell (Lara.Pudwell(AT)valpo.edu), Jan 21 2006

Binomial transform of A028310. a(n)=1+sum{k=0..n, C(n, k)k}=1+A001787(n) - Paul Barry (pbarry(AT)wit.ie), Jul 21 2003

a(n) = sum(k=0, 2^n, A000120(k) ) = A000788(2^n) - Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 25 2003

Row sums of triangle A134399 - Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 23 2007

A005183:=-(1-3*z+3*z**2)/(z-1)/(-1+2*z)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]

Table[(n+1)*2^n+1, {n, 1, 30}] - Alexander Adamchuk (alex(AT)kolmogorov.com), Sep 09 2006

Cf. A134399.

Sequence in context: A027929 A001659 A088921 this_sequence A005348 A067676 A116703

Adjacent sequences: A005180 A005181 A005182 this_sequence A005184 A005185 A005186

nonn,easy

N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy

More terms from Lara Pudwell (Lara.Pudwell(AT)valpo.edu), Jan 21 2006

Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Jim Propp, Jul 14 2007