0,2

Same as Pisot sequences E(1,6), L(1,6), P(1,6), T(1,6). See A008776 for definitions of Pisot sequences.

Central terms of the triangle in A036561. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 14 2006

A000005(a(n)) = A000290(n+1). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 04 2007

With a different offset, number of n-permutations (n>=0) of 7 objects: t, u, v, w, z, x, y with repetition allowed, containing exactly zero (0) or free u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 16 2008

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

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

T. D. Noe, Table of n, a(n) for n=0..100

C. Banderier and D. Merlini, Lattice paths with an infinite set of jumps, FPSAC02, Melbourne, 2002.

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 271

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.

Index entries for sequences related to linear recurrences with constant coefficients

a(n) = 6^n; a(n) = 6a(n-1).

G.f.: 1/(1-6x), e.g.f.: exp(6x)

((3+sqrt9)^n-(3-sqrt9)^n)/6. Offset 1. a(3)=36 [From Al Hakanson (hawkuu(AT)gmail.com), Jan 07 2009]

A000400:=-1/(-1+6*z); [Conjectured by S. Plouffe in his 1992 dissertation.]

with(finance):seq(futurevalue(1, 5, n), n=0..22); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 25 2009]

sage: from sage.combinat.sloane_functions import recur_gen2b sage: it =recur_gen2b(1, n/9, n/9, 0, lambda n: 0) sage: [it.next() for i in range(23)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 16 2008

(Other) sage: [lucas_number1(n, 6, 0) for n in xrange(1, 24)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]

a(n) = A159991(n)/A011577(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 02 2009]

Sequence in context: A007274 A126634 A007275 this_sequence A097681 A050736 A033142

Adjacent sequences: A000397 A000398 A000399 this_sequence A000401 A000402 A000403

easy,nonn

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