A118659 Minimum number of unit faces required to construct n unit cubes.

6, 11, 16, 20, 25, 29, 33, 36, 41, 45, 49, 52, 57, 61, 65, 68, 72, 75, 80, 84, 88, 91, 95, 98, 102, 105, 108, 113, 117, 121, 124, 128, 131, 135, 138, 141, 146, 150, 154, 157, 161, 164, 168, 171, 174, 178, 181, 184, 189, 193, 197, 200, 204, 207, 211, 214, 217, 221, 224

Offset

1,1

Links

Table of n, a(n) for n=1..59.

Formula

a(n^3) = 3*(n^2)*(n+1) = A270205(n+1). - Mohammed Yaseen, Aug 22 2021

Example

a(2)=11 because 6 unit faces are required to construct each cube but 1 face is shared. I.e., a(2)=6+5=11.

Crossrefs

Cf. A117227, A270205.

Sequence in context: A315447 A315448 A315449 * A315450 A315451 A072353

Adjacent sequences: A118656 A118657 A118658 * A118660 A118661 A118662

Keyword

easy,nonn

Author

Ron R. King, May 18 2006

Extensions

Missing term a(56)=214 inserted by Mohammed Yaseen, Aug 22 2021

Status

approved