1,2

Differences of reciprocals of unity.

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

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 228.

T. D. Noe, Table of n, a(n) for n=1..100

Index entries for sequences related to linear recurrences with constant coefficients

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.

a(n) = 11a(n-1)-36a(n-2)+36a(n-3). - John W. Layman (layman(AT)math.vt.edu).

a(n) = (6^n-2*3^n+2^n)/2. Also -x^2/6*Beta(x, 4) = Sum_{n>=0} a(n)*(-x/6)^n. Thus x^2*Beta(x, 4) = x-11/6*x^2+85/36*x^3-575/216*x^4+3661/1296*x^5-... . - Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 09 2002

a(n)=sum{0<=i,j,k,<=n, i+j+k=n, 2^i*3^j*6^k}. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 25 2007

a(n) = 2^n+3^(n+1)*(2^n-1). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 25 2007

A001240:=-1/((6*z-1)*(3*z-1)*(2*z-1)); [Conjectured (correctly) by S. Plouffe in his 1992 dissertation.]

Right-hand column 2 in triangle A008969.

a(n)=A112492(n+1, 3).

Sequence in context: A152582 A012478 A026783 this_sequence A129180 A082365 A012794

Adjacent sequences: A001237 A001238 A001239 this_sequence A001241 A001242 A001243

nonn,easy,nice

N. J. A. Sloane (njas(AT)research.att.com).