

A116534


Start with 1 and 2; if number is even join with last number and divide by 2, if it is odd add 1 and divide by 2.


1



1, 2, 6, 13, 7, 4, 37, 19, 10, 955, 478, 477739, 238870, 238869619435, 119434809718, 119434809717559717404859, 59717404858779858702430, 5971740485877985870242979858702429389929351215
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OFFSET

0,2


COMMENTS

Rapidly growing: for n=10,20,30,40,50 the terms have 3, 138, 914, 3649, 248128 digits respectively (cf. A131059).  Hieronymus Fischer, Jun 12 2007


LINKS

Table of n, a(n) for n=0..17.


FORMULA

1,2 = 12 / 2 = 6, is even so = 26 /2 = 13 is odd so sum 1 and / by 2 = 7, +1 /2 = 4, is even so I join with 7 = 74 /2 = 37 +1 /2 = 19, etc
a(n)=ceiling(a(n1)/2)+(1+(1)^a(n1))*10^floor(log_10(a(n1))+1)*a(n2)/4, n>=2.  Hieronymus Fischer, Jun 12 2007


CROSSREFS

Cf. A131059.
Sequence in context: A181063 A161324 A226603 * A130533 A231384 A082722
Adjacent sequences: A116531 A116532 A116533 * A116535 A116536 A116537


KEYWORD

nonn


AUTHOR

Rodolfo Kurchan, Mar 26 2006


EXTENSIONS

More terms from Hieronymus Fischer, Jun 12 2007


STATUS

approved



