A260004 Values of f(2,x,y) in increasing order, for x>=0, y>0 where f is the Sudan function defined in A260002.

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

Author

Natan Arie Consigli, Jul 23 2015

Keywords

• nonn

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.

Examples

			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.