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A063573 First differences of A002065. 2
1, 2, 10, 170, 33490, 1133870930, 1285739648704587610, 1653126447166808568966775665261637370 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Number of trees of height n generated by unary and binary composition. - Claude Lenormand (claude.lenormand(AT)free.fr), Sep 05 2001

LINKS

Table of n, a(n) for n=0..7.

Index entries for sequences of form a(n+1)=a(n)^2 + ...

FORMULA

a(n) = a(n-1)^2 + 2 a(n-1) sqrt(a(n-1)-1) + a(n-1) for n > 0. [Charles R Greathouse IV, Dec 29 2011]

PROG

(PARI) a(n)=if(n, my(k=a(n-1)); k^2+2*k*sqrtint(k-1)+k, 1) \\ Charles R Greathouse IV, Dec 29 2011

CROSSREFS

Sequence in context: A260122 A132341 A069994 * A086675 A319607 A057119

Adjacent sequences:  A063570 A063571 A063572 * A063574 A063575 A063576

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Sep 06 2001

STATUS

approved

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Last modified June 17 07:00 EDT 2019. Contains 324183 sequences. (Running on oeis4.)