

A014644


Form array starting with {1,1}; then ith term in a row gives number of i's in next row; sequence is formed from final term in each row.


5



1, 2, 2, 3, 5, 11, 38, 272, 6474, 1090483, 4363282578, 2940715000315189, 7930047000157075949085439, 14412592242471457956514645440241289655074, 70636608026754077888330819116433040562582634705380432362008848092
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


LINKS

Table of n, a(n) for n=1..15.


FORMULA

log a(n) grows like constant times phi^n, phi = Golden ratio (Colin Mallows).
a(n) converges to a(n2)*a(n1)*phi (within 6 decimals for a[15])  Johan Claes, Oct 02 2005
Limit n > infty a(n+2)/a(n+1)/a(n)=1/Phi.  Benoit Cloitre, Oct 13 2005


EXAMPLE

a[5]=5 because 5 is the last number of the 5th row of A014643 (1,2,2,3,3,4,4,4,5,5,5)


CROSSREFS

Cf. A014643, A011784.
Sequence in context: A127166 A103596 A005426 * A089541 A065843 A111264
Adjacent sequences: A014641 A014642 A014643 * A014645 A014646 A014647


KEYWORD

nonn,nice


AUTHOR

N. J. A. Sloane.


EXTENSIONS

a(1)..a(11) computed by Colin Mallows.
a(12)..a(15) computed by Johan Claes Oct 02 2005


STATUS

approved



