0,1

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).

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.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 813.

T. D. Noe, Table of n, a(n) for n=0..200

Index entries for sequences related to linear recurrences with constant coefficients

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

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 363

G.f.: (3-12*x+11*x^2)/(1-6*x+11*x^2-6*x^3). a(n) = 5*a(n-1)-6*a(n-2)+2.

E.g.f.: e^x+e^(2*x)+e^(3*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 26 2008]

A001550:=-(3-12*z+11*z^2)/(z-1)/(3*z-1)/(2*z-1); [S. Plouffe in his 1992 dissertation.]

Table[1^n + 2^n + 3^n, {n, 0, 25}]

Cf. A001576, A034513, A001579, A074501 - A074580.

Column 3 of array A103438.

Sequence in context: A018017 A147772 A129703 this_sequence A100446 A106395 A079003

Adjacent sequences: A001547 A001548 A001549 this_sequence A001551 A001552 A001553

easy,nice,nonn

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

Recurrence and additional terms from Michael Somos

Removed attribute "conjectured" from Plouffe g.f R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 11 2009