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

1,2

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.

Links

Table of n, a(n) for n=1..30.

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

Adjacent sequences: A260001 A260002 A260003 * A260005 A260006 A260007

Keyword

nonn

Author

Natan Arie Consigli, Jul 23 2015

Status

approved