A115421 Numbers having a 1 in position 5 of their binary expansion.

32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124

Offset: 1

Author

Jeremy Gardiner, Jan 22 2006

Keywords

• nonn
• base
• easy

Comments

One of the mystery calculator sequences: A005408, A042964, A047566, A115419, A115420, A115421.

Examples

			a(1) = 32 = 100000 in binary.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000
• Edd Mann, Mystery Calculator.

Crossrefs

Cf. A005408, A042964, A047566, A115419, A115420.

Programs

Maple

a:= n-> n+31 + 32*iquo(n-1, 32):
seq(a(n), n=1..100);  # Alois P. Heinz, Aug 22 2011

Mathematica

Select[Range[256], BitAnd[#, 32] == 32 &] (* Alonso del Arte, Nov 14 2016 *)

Python

def A115421(n): return ((n-1<<1)&-31|32)+(n-1&31) # Chai Wah Wu, Mar 28 2024

Formula

From Robert Israel, Nov 14 2016: (Start)

a(n + 32) = a(n) + 64.

O.g.f.: (31 + (1 - x^33)/(1 - x))*x/((1 - x)*(1 - x^32)). (End)