Truncated triangular pyramid number
 | This article, Truncated triangular pyramid number, has recently been created via the Articles for creation process. Please check to see if the reviewer has accidentally left this template after accepting the draft and take appropriate action as necessary.
Reviewer tools: Inform author |
Truncated Triangular Pyramid Number[1] are achieved by removing (truncating) some smaller Tetrahedral number (or triangular pyramidal number) from each of the vertices of a bigger Tetrahedral number (or triangular pyramidal number).
The number to be removed (truncated) may be same or different from the different vertices.
For example,
Tetrahedral Number 20 (sequence A000292 in the OEIS) yields Truncated Triangular Pyramid Number 7 (sequence A051937 in the OEIS) by truncating Tetrahedral number (or triangular pyramidal number) 4,4,4 and 1 from its vertices
Tetrahedral Number 35 (sequence A000292 in the OEIS) yields Truncated Triangular Pyramid Number 19 (sequence A051937 in the OEIS) by truncating Tetrahedral number (or triangular pyramidal number) 4 from each of the vertices
Tetrahedral Number 286 (sequence A000292 in the OEIS) yields Truncated Triangular Pyramid Number 273 (sequence A051937 in the OEIS) by truncating Tetrahedral number (or triangular pyramidal number) 4,4,4 and 1 from its vertices
Tetrahedral Number 560 (sequence A000292 in the OEIS) also yields Truncated Triangular Pyramid Number 273 (sequence A051937 in the OEIS) by truncating Tetrahedral number (or triangular pyramidal number) 84,84,84 and 35 from its vertices
Tetrahedral Number 816 (sequence A000292 in the OEIS) yields Truncated Triangular Pyramid Number 689 (sequence A051937 in the OEIS) by truncating Tetrahedral number (or triangular pyramidal number) 56,35,35 and 1 from its vertices
Tetrahedral Number 969 (sequence A000292 in the OEIS) yields Truncated Triangular Pyramid Number 833 (sequence A051937 in the OEIS) by truncating Tetrahedral number (or triangular pyramidal number) 56,35,35 and 10 from its vertices
Also,
Certain Truncated Triangular Pyramid Numbers may possess other characteristics too, like:
273 (number) is also a sphenic number and an idoneal number
204 (number) is also a square pyramidal number and a nonagonal number
References
- ^ Sloane, N. J. A. (ed.). "Sequence A051937 (Truncated triangular pyramid numbers))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.