login
A260004
Values of f(2,x,y) in increasing order, for x>=0, y>0 where f is the Sudan function defined in A260002.
4
1, 8, 19, 27, 74, 185, 440, 1015, 2294, 5109, 10228, 11252, 24563, 53234, 114673, 245744, 524271, 1114094, 2359277, 4980716, 10485739, 22020074, 46137321, 88080360, 96468968, 201326567, 419430374, 872415205, 1811939300, 15569256417
OFFSET
1,2
COMMENTS
This is a subsequence of A260003 since f(2,x,y)= f(1, f(2,x,y-1), f(2,x,y-1)+y).
In this list we suppose that y>0. If we take y=0, all the natural numbers would be in the sequence.
To evaluate the Sudan function see A260002-A260003.
EXAMPLE
f(2,0,1) = f(1, f(2,0,0), f(2,0,0)+1) = f(1,0,1) = 2^1(0+2)-1-2 = 1;
f(2,0,2) = f(1, [f(2,0,1)], [f(2,0,1)+1+1]) = f(1,1,3) = 2^3(1+2)-3-2 = 19;
CROSSREFS
Cf. A048493 (f(2,n,1)), A260002, A260003, A260005 (f(2,n,2)), A260006.
Sequence in context: A274397 A178130 A227029 * A144171 A017485 A146270
KEYWORD
nonn
AUTHOR
Natan Arie Consigli, Jul 23 2015
STATUS
approved