A330962 For any n >= 0: consider all pairs of numbers (x, y) whose binary representations can be interleaved (or shuffled) to produce the binary representation of n (possibly with leading zeros); a(n) is the least possible value of x^2 + y^2.

0, 1, 1, 2, 1, 2, 5, 10, 1, 2, 5, 10, 8, 10, 13, 18, 1, 2, 5, 10, 8, 10, 13, 18, 9, 10, 13, 18, 25, 34, 45, 58, 1, 2, 5, 10, 8, 10, 13, 18, 9, 10, 13, 18, 25, 34, 45, 58, 9, 10, 13, 18, 25, 34, 45, 58, 49, 50, 53, 58, 65, 74, 85, 98, 1, 2, 5, 10, 8, 10, 13, 18

Offset

0,4

Links

Table of n, a(n) for n=0..71.

Rémy Sigrist, C program for A330962

Index entries for sequences related to binary expansion of n

Example

For n = 5:
- the binary representation of 5 is "101",
- the possible values for (x, y), restricted to x >= y without loss of generality, are:
  bin(5)   x  y  x^2+y^2
  -------  -  -  -------
  "101"    5  0        25
  "1/01"   1  1        2
  "10/1"   2  1        5
  "1/0/1"  3  0        9
- hence a(5) = 2.

Prog

(C) See Links section.

Crossrefs

See A330925 for similar sequences.

Cf. A327194.

Sequence in context: A201163 A049901 A117715 * A327194 A160457 A107087

Adjacent sequences: A330959 A330960 A330961 * A330963 A330964 A330965

Keyword

nonn,base

Author

Rémy Sigrist, Jan 04 2020

Status

approved