0,2

Number of n-permutations of 14 objects: m, n, o, p, q, r, s, t, u, v, w, z, x, y with repetition allowed and containing no u's, (u-free). Permutations with repetitions! If n=0 then 1 >>13^0=1 "". (no u's.) If n=1 then 13 >>13^1=13, >>m, n, o, p, q, r, s, t, v, w, z, x, y. (no u's.) etc. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 01 2009]

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).

P. J. Cameron, Sequences realized by oligomorphic permutation groups, J. Integ. Seqs. Vol. 3 (2000), #00.1.5.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 277

Tanya Khovanova, Recursive Sequences

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.

Y. Puri and T. Ward, Arithmetic and growth of periodic orbits, J. Integer Seqs., Vol. 4 (2001), #01.2.1.

G.f.: 1/(1-13x), e.g.f.: exp(13x)

A001022:=-1/(-1+13*z); [Conjectured by S. Plouffe in his 1992 dissertation.]

(Other) sage: [lucas_number1(n, 13, 0) for n in xrange(1, 18)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2009]

Sequence in context: A045593 A045597 A045600 this_sequence A020533 A067220 A057684

Adjacent sequences: A001019 A001020 A001021 this_sequence A001023 A001024 A001025

nonn

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

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 19 2000

More terms from Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 06 2009