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A070231 Let u(k) v(k) w(k) be the recursions u(1)=v(1)=w(1)=1 u(k+1)=u(k)+v(k)+w(k) v(k+1)=u(k)v(k)+v(k)w(k)+w(k)u(k) w(k+1)=u(k)v(k)w(k); then a(n)=u(n). 0
1, 3, 7, 31, 1279, 9202687, 3692849258577919, 98367959484921734629696721986125823, 3882894052327310957045599009145809243674851356642054390303168725061781159935999 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..9.

FORMULA

Let C be the positive root of x^3+x^2-2x-1=0 (C = 1, 246979603717...); then lim n -> infinity u(n)^(C+1)/w(n)= lim n -> infinity u(n)^C/v(n) = lim n -> infinity v(n)^B/w(n)=1 with B=C+1-1/(1+C)=1, 801...

CROSSREFS

Cf. A003686, A064847.

Sequence in context: A081475 A123212 A213437 * A263049 A167917 A249761

Adjacent sequences:  A070228 A070229 A070230 * A070232 A070233 A070234

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, May 08 2002

STATUS

approved

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Last modified August 23 11:24 EDT 2019. Contains 326222 sequences. (Running on oeis4.)